Publication Information

{'id': 'https://openalex.org/W2952749356', 'doi': 'https://doi.org/10.48550/arxiv.math/0312082', 'title': 'Constants of formal derivatives of non-associative algebras, Taylor expansions and applications', 'display_name': 'Constants of formal derivatives of non-associative algebras, Taylor expansions and applications', 'publication_year': 2003, 'publication_date': '2003-01-01', 'ids': {'openalex': 'https://openalex.org/W2952749356', 'doi': 'https://doi.org/10.48550/arxiv.math/0312082', 'mag': '2952749356'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/math/0312082', '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': None, 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'journal-article', 'indexed_in': ['datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/math/0312082', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5090455653', 'display_name': 'Vesselin Drensky', 'orcid': 'https://orcid.org/0000-0002-6769-6757'}, 'institutions': [{'id': 'https://openalex.org/I4210105926', 'display_name': 'Institute of Mathematics and Informatics', 'ror': 'https://ror.org/01b5dy719', 'country_code': 'BG', 'type': 'facility', 'lineage': ['https://openalex.org/I24768866', 'https://openalex.org/I4210105926']}, {'id': 'https://openalex.org/I24768866', 'display_name': 'Bulgarian Academy of Sciences', 'ror': 'https://ror.org/01x8hew03', 'country_code': 'BG', 'type': 'government', 'lineage': ['https://openalex.org/I24768866']}], 'countries': ['BG'], 'is_corresponding': False, 'raw_author_name': 'Vesselin Drensky', 'raw_affiliation_strings': ['Institute of Mathematics and Informatics , Bulgarian Academy of Sciences , Sofia, Bulgaria'], 'affiliations': [{'raw_affiliation_string': 'Institute of Mathematics and Informatics , Bulgarian Academy of Sciences , Sofia, Bulgaria', 'institution_ids': ['https://openalex.org/I4210105926', 'https://openalex.org/I24768866']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5036400830', 'display_name': 'Ralf Holtkamp', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I904495901', 'display_name': 'Ruhr University Bochum', 'ror': 'https://ror.org/04tsk2644', 'country_code': 'DE', 'type': 'education', 'lineage': ['https://openalex.org/I904495901']}], 'countries': ['DE'], 'is_corresponding': False, 'raw_author_name': 'Ralf Holtkamp', 'raw_affiliation_strings': ['Fakultät für Mathematik, Ruhr-Universität, Bochum, Germany;'], 'affiliations': [{'raw_affiliation_string': 'Fakultät für Mathematik, Ruhr-Universität, Bochum, Germany;', 'institution_ids': ['https://openalex.org/I904495901']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 3, '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': 59}, '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': 0.9976, '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/T10792', 'display_name': 'Matrix Theory and Algorithms', 'score': 0.9918, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/associative-property', 'display_name': 'Associative property', 'score': 0.78888625}], 'concepts': [{'id': 'https://openalex.org/C159423971', 'wikidata': 'https://www.wikidata.org/wiki/Q177251', 'display_name': 'Associative property', 'level': 2, 'score': 0.78888625}, {'id': 'https://openalex.org/C158946198', 'wikidata': 'https://www.wikidata.org/wiki/Q131187', 'display_name': 'Taylor series', 'level': 2, 'score': 0.6024609}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5203111}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.44914466}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.43473548}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.13303554}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/math/0312082', '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': None, 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.math/0312082', '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/math/0312082', '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': None, 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 6, 'referenced_works': ['https://openalex.org/W1534043326', 'https://openalex.org/W1989766863', 'https://openalex.org/W1996828062', 'https://openalex.org/W2028205772', 'https://openalex.org/W2049804167', 'https://openalex.org/W2076803646'], 'related_works': ['https://openalex.org/W4391375266', 'https://openalex.org/W4238204885', 'https://openalex.org/W3002753104', 'https://openalex.org/W2600246793', 'https://openalex.org/W2142036596', 'https://openalex.org/W2077600819', 'https://openalex.org/W2072657027', 'https://openalex.org/W2061531152', 'https://openalex.org/W2007980826', 'https://openalex.org/W1979597421'], 'abstract_inverted_index': {'We': [0, 105], 'study': [1], 'unitary': [2], 'multigraded': [3, 66], 'non-associative': [4, 137], 'algebras': [5, 40, 57, 64], 'R': [6, 79], 'generated': [7], 'by': [8], 'an': [9, 117, 130], 'ordered': [10], 'set': [11], 'X': [12], 'over': [13], 'a': [14, 85, 98], 'field': [15], 'K': [16], 'of': [17, 34, 38, 60, 65, 78, 87, 89, 111, 114, 122, 132, 143], 'characteristic': [18], '0': [19], 'such': [20], 'that': [21], 'the': [22, 90, 109, 112, 123, 133, 141, 152], 'mappings': [23], 'd_k:': [24], 'x_l->delta_{kl},': [25], 'x_k,x_l': [26], 'in': [27, 58], 'X,': [28], 'can': [29, 80], 'be': [30, 81], 'extended': [31], 'to': [32], 'derivations': [33], 'R.': [35], 'The': [36], 'class': [37], 'these': [39], 'is': [41, 97], 'quite': [42], 'large': [43], 'and': [44, 48, 100], 'includes': [45], 'free': [46, 52, 56], 'associative': [47], 'Jordan': [49], 'algebras,': [50, 54, 61, 68, 138], 'absolutely': [51], '(non-associative)': [53], 'relatively': [55], 'varieties': [59], 'universal': [62], 'enveloping': [63], 'Lie': [67], 'etc.': [69], 'There': [70], 'are': [71], 'Taylor-like': [72], 'formulas': [73], 'for': [74, 108, 136], 'R:': [75], 'Each': [76], 'element': [77], 'uniquely': [82], 'presented': [83], 'as': [84], 'sum': [86], 'elements': [88], 'form': [91], '(...(r_0': [92], 'x_{j_1})...x_{j_{n-1}})': [93], 'x_{j_n},': [94], 'where': [95], 'r_0': [96], 'constant': [99, 149], 'j_1': [101], '<=': [102], '...<=': [103], 'j_n.': [104], 'present': [106], 'methods': [107], 'description': [110], 'algebra': [113], 'constants,': [115], 'including': [116], 'approach': [118], 'via': [119], 'representation': [120], 'theory': [121], 'general': [124], 'linear': [125, 145], 'or': [126], 'symmetric': [127], 'groups.': [128], 'As': [129], 'application': [131], 'Taylor': [134], 'expansion': [135], 'we': [139], 'consider': [140], 'solutions': [142], 'ordinary': [144], 'differential': [146], 'equations': [147], 'with': [148], 'coefficients': [150], 'from': [151], 'base': [153], 'field.': [154]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2952749356', 'counts_by_year': [], 'updated_date': '2024-12-07T00:35:29.991641', 'created_date': '2019-06-27'}