Publication Information

{'id': 'https://openalex.org/W4296566562', 'doi': 'https://doi.org/10.48550/arxiv.2209.08962', 'title': 'Anti-dendriform algebras, new splitting of operations and Novikov type algebras', 'display_name': 'Anti-dendriform algebras, new splitting of operations and Novikov type algebras', 'publication_year': 2022, 'publication_date': '2022-01-01', 'ids': {'openalex': 'https://openalex.org/W4296566562', 'doi': 'https://doi.org/10.48550/arxiv.2209.08962'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/2209.08962', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': ['arxiv', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/2209.08962', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5085368616', 'display_name': 'Dongfang Gao', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I205237279', 'display_name': 'Nankai University', 'ror': 'https://ror.org/01y1kjr75', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I205237279']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Dongfang Gao', 'raw_affiliation_strings': ['Chern Institute of Mathematics & LPMC, Nankai University, Tianjin 300071, China'], 'affiliations': [{'raw_affiliation_string': 'Chern Institute of Mathematics & LPMC, Nankai University, Tianjin 300071, China', 'institution_ids': ['https://openalex.org/I205237279']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5086711095', 'display_name': 'Guilai Liu', 'orcid': 'https://orcid.org/0009-0005-5876-3486'}, 'institutions': [{'id': 'https://openalex.org/I205237279', 'display_name': 'Nankai University', 'ror': 'https://ror.org/01y1kjr75', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I205237279']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Guilai Liu', 'raw_affiliation_strings': ['Chern Institute of Mathematics & LPMC, Nankai University, Tianjin 300071, China'], 'affiliations': [{'raw_affiliation_string': 'Chern Institute of Mathematics & LPMC, Nankai University, Tianjin 300071, China', 'institution_ids': ['https://openalex.org/I205237279']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5014897749', 'display_name': 'Chengming Bai', 'orcid': 'https://orcid.org/0000-0002-9242-5887'}, 'institutions': [{'id': 'https://openalex.org/I205237279', 'display_name': 'Nankai University', 'ror': 'https://ror.org/01y1kjr75', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I205237279']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Chengming Bai', 'raw_affiliation_strings': ['Chern Institute of Mathematics & LPMC, Nankai University, Tianjin 300071, China'], 'affiliations': [{'raw_affiliation_string': 'Chern Institute of Mathematics & LPMC, Nankai University, Tianjin 300071, China', 'institution_ids': ['https://openalex.org/I205237279']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 60}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11673', 'display_name': 'Advanced Topics in Algebra', 'score': 1.0, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T11673', 'display_name': 'Advanced Topics in Algebra', 'score': 1.0, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.9957, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11703', 'display_name': 'Rings, Modules, and Algebras', 'score': 0.9813, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/novikov-self-consistency-principle', 'display_name': 'Novikov self-consistency principle', 'score': 0.8286886}, {'id': 'https://openalex.org/keywords/associative-property', 'display_name': 'Associative property', 'score': 0.7946781}, {'id': 'https://openalex.org/keywords/interior-algebra', 'display_name': 'Interior algebra', 'score': 0.62595314}, {'id': 'https://openalex.org/keywords/quadratic-algebra', 'display_name': 'Quadratic algebra', 'score': 0.53248614}, {'id': 'https://openalex.org/keywords/nest-algebra', 'display_name': 'Nest algebra', 'score': 0.49553502}, {'id': 'https://openalex.org/keywords/associative-algebra', 'display_name': 'Associative algebra', 'score': 0.47698456}, {'id': 'https://openalex.org/keywords/supermatrix', 'display_name': 'Supermatrix', 'score': 0.44632834}], 'concepts': [{'id': 'https://openalex.org/C114170632', 'wikidata': 'https://www.wikidata.org/wiki/Q2003641', 'display_name': 'Novikov self-consistency principle', 'level': 2, 'score': 0.8286886}, {'id': 'https://openalex.org/C159423971', 'wikidata': 'https://www.wikidata.org/wiki/Q177251', 'display_name': 'Associative property', 'level': 2, 'score': 0.7946781}, {'id': 'https://openalex.org/C518143113', 'wikidata': 'https://www.wikidata.org/wiki/Q4391941', 'display_name': 'Non-associative algebra', 'level': 4, 'score': 0.7420212}, {'id': 'https://openalex.org/C183778304', 'wikidata': 'https://www.wikidata.org/wiki/Q165474', 'display_name': 'Commutative property', 'level': 2, 'score': 0.6889873}, {'id': 'https://openalex.org/C203254541', 'wikidata': 'https://www.wikidata.org/wiki/Q10894825', 'display_name': 'Interior algebra', 'level': 5, 'score': 0.62595314}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5908359}, {'id': 'https://openalex.org/C2777299769', 'wikidata': 'https://www.wikidata.org/wiki/Q3707858', 'display_name': 'Type (biology)', 'level': 2, 'score': 0.5876092}, {'id': 'https://openalex.org/C104736235', 'wikidata': 'https://www.wikidata.org/wiki/Q7268354', 'display_name': 'Quadratic algebra', 'level': 5, 'score': 0.53248614}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5248694}, {'id': 'https://openalex.org/C207264727', 'wikidata': 'https://www.wikidata.org/wiki/Q6997759', 'display_name': 'Nest algebra', 'level': 5, 'score': 0.49553502}, {'id': 'https://openalex.org/C51292594', 'wikidata': 'https://www.wikidata.org/wiki/Q744960', 'display_name': 'Associative algebra', 'level': 5, 'score': 0.47698456}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.45911285}, {'id': 'https://openalex.org/C123439655', 'wikidata': 'https://www.wikidata.org/wiki/Q3977978', 'display_name': 'Supermatrix', 'level': 5, 'score': 0.44632834}, {'id': 'https://openalex.org/C136197465', 'wikidata': 'https://www.wikidata.org/wiki/Q1729295', 'display_name': 'Variety (cybernetics)', 'level': 2, 'score': 0.42665702}, {'id': 'https://openalex.org/C100856211', 'wikidata': 'https://www.wikidata.org/wiki/Q674689', 'display_name': 'Clifford algebra', 'level': 3, 'score': 0.41037664}, {'id': 'https://openalex.org/C155058155', 'wikidata': 'https://www.wikidata.org/wiki/Q1673406', 'display_name': 'Universal enveloping algebra', 'level': 3, 'score': 0.35898483}, {'id': 'https://openalex.org/C100376341', 'wikidata': 'https://www.wikidata.org/wiki/Q649977', 'display_name': 'Jordan algebra', 'level': 4, 'score': 0.35290796}, {'id': 'https://openalex.org/C14394260', 'wikidata': 'https://www.wikidata.org/wiki/Q4723980', 'display_name': 'Algebra representation', 'level': 3, 'score': 0.34899282}, {'id': 'https://openalex.org/C138354692', 'wikidata': 'https://www.wikidata.org/wiki/Q1231309', 'display_name': 'Division algebra', 'level': 4, 'score': 0.25405073}, {'id': 'https://openalex.org/C5475112', 'wikidata': 'https://www.wikidata.org/wiki/Q632521', 'display_name': 'Affine Lie algebra', 'level': 4, 'score': 0.08158782}, {'id': 'https://openalex.org/C18903297', 'wikidata': 'https://www.wikidata.org/wiki/Q7150', 'display_name': 'Ecology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C81999800', 'wikidata': 'https://www.wikidata.org/wiki/Q1454725', 'display_name': 'Current algebra', 'level': 3, 'score': 0.0}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/2209.08962', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/2209.08962', 'pdf_url': 'http://arxiv.org/pdf/2209.08962', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.2209.08962', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210145204', 'host_organization_name': 'DataCite', 'host_organization_lineage': ['https://openalex.org/I4210145204'], 'host_organization_lineage_names': ['DataCite'], 'type': 'metadata'}, 'license': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/2209.08962', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 19, 'referenced_works': ['https://openalex.org/W1571192943', 'https://openalex.org/W1651386934', 'https://openalex.org/W1971109247', 'https://openalex.org/W1972004231', 'https://openalex.org/W1972996770', 'https://openalex.org/W1996280949', 'https://openalex.org/W2022887106', 'https://openalex.org/W2024570039', 'https://openalex.org/W2038966162', 'https://openalex.org/W2052410320', 'https://openalex.org/W2067421210', 'https://openalex.org/W2072011469', 'https://openalex.org/W2084649487', 'https://openalex.org/W2097775698', 'https://openalex.org/W2951914673', 'https://openalex.org/W2952734759', 'https://openalex.org/W3103257993', 'https://openalex.org/W3138307302', 'https://openalex.org/W4285483662'], 'related_works': ['https://openalex.org/W4330339812', 'https://openalex.org/W4296566562', 'https://openalex.org/W4253610115', 'https://openalex.org/W4207071972', 'https://openalex.org/W2389970742', 'https://openalex.org/W2354737603', 'https://openalex.org/W2063475710', 'https://openalex.org/W1966013872', 'https://openalex.org/W1871060787', 'https://openalex.org/W1492348087'], 'abstract_inverted_index': {'We': [0], 'introduce': [1], 'the': [2, 13, 19, 29, 37, 40, 45, 49, 52, 118, 141, 158], 'notion': [3, 46, 119], 'of': [4, 11, 39, 55, 60, 103, 110, 120, 127, 156, 160, 162, 170], 'anti-dendriform': [5, 73, 80, 106, 163], 'algebras': [6, 20, 68, 85, 107, 123, 129, 137], 'as': [7, 18, 124], 'a': [8, 113, 153, 167], 'new': [9, 168], 'approach': [10], 'splitting': [12, 169], 'associativity.': [14], 'They': [15], 'are': [16, 69, 78, 98], 'characterized': [17], 'with': [21, 51, 86, 135, 140], 'two': [22], 'operations': [23], 'whose': [24, 133], 'sum': [25, 41], 'is': [26, 92, 138], 'associative': [27, 42, 67, 84], 'and': [28, 32, 63, 105, 145], 'negative': [30], 'left': [31], 'right': [33], 'multiplication': [34], 'operators': [35, 65], 'compose': [36], 'bimodules': [38], 'algebras,': [43, 132, 164], 'justifying': [44], 'due': [47], 'to': [48, 71, 151], 'comparison': [50], 'corresponding': [53], 'characterization': [54], 'dendriform': [56, 104, 122, 131, 144], 'algebras.': [57, 74, 147], 'The': [58], 'notions': [59, 159], 'anti-$\\mathcal': [61], 'O$-operators': [62], 'anti-Rota-Baxter': [64], 'on': [66, 83], 'introduced': [70], 'interpret': [72], 'In': [75], 'particular,': [76], 'there': [77, 97], 'compatible': [79], 'algebra': [81], 'structures': [82], 'nondegenerate': [87], 'commutative': [88], 'Connes': [89], 'cocycles.': [90], 'There': [91], 'an': [93, 125], 'important': [94], 'observation': [95], 'that': [96], 'correspondences': [99], 'between': [100, 143], 'certain': [101], 'subclasses': [102], 'in': [108], 'terms': [109], '$q$-algebras.': [111], 'As': [112], 'direct': [114], 'consequence,': [115], 'we': [116, 149], 'give': [117], 'Novikov-type': [121], 'analogue': [126], 'Novikov': [128, 136], 'for': [130], 'relationship': [134], 'consistent': [139], 'one': [142], 'pre-Lie': [146], 'Finally': [148], 'extend': [150], 'provide': [152], 'general': [154], 'framework': [155], 'introducing': [157], 'analogues': [161], 'which': [165], 'interprets': [166], 'operations.': [171]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W4296566562', 'counts_by_year': [], 'updated_date': '2024-12-12T15:55:35.112504', 'created_date': '2022-09-21'}