Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2015343295', 'doi': 'https://doi.org/10.1007/pl00005983', 'title': 'On the Nilpotent Ranks of the Principal Factors of Order-preserving Transformation Semigroups', 'display_name': 'On the Nilpotent Ranks of the Principal Factors of Order-preserving Transformation Semigroups', 'publication_year': 1998, 'publication_date': '1998-11-01', 'ids': {'openalex': 'https://openalex.org/W2015343295', 'doi': 'https://doi.org/10.1007/pl00005983', 'mag': '2015343295'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/pl00005983', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S75897683', 'display_name': 'Semigroup Forum', 'issn_l': '0037-1912', 'issn': ['0037-1912', '1432-2137'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5058649931', 'display_name': 'Xiuliang Yang', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Xiuliang Yang', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5058649931'], 'corresponding_institution_ids': [], 'apc_list': {'value': 2290, 'currency': 'EUR', 'value_usd': 2890, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 1.05, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 9, 'citation_normalized_percentile': {'value': 0.668717, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 77, 'max': 78}, 'biblio': {'volume': '57', 'issue': '3', 'first_page': '331', 'last_page': '340'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11567', 'display_name': 'Automata Theory and Formal Languages', 'score': 0.9962, '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'}}, 'topics': [{'id': 'https://openalex.org/T11567', 'display_name': 'Automata Theory and Formal Languages', 'score': 0.9962, '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'}}, {'id': 'https://openalex.org/T11703', 'display_name': 'Study of properties and structures of commutative rings', 'score': 0.9373, '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/semigroups', 'display_name': 'Semigroups', 'score': 0.546574}, {'id': 'https://openalex.org/keywords/principal-part', 'display_name': 'Principal part', 'score': 0.45052227}], 'concepts': [{'id': 'https://openalex.org/C50555996', 'wikidata': 'https://www.wikidata.org/wiki/Q840023', 'display_name': 'Nilpotent', 'level': 2, 'score': 0.8606988}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8453136}, {'id': 'https://openalex.org/C144559511', 'wikidata': 'https://www.wikidata.org/wiki/Q2986279', 'display_name': 'Principal (computer security)', 'level': 2, 'score': 0.7233619}, {'id': 'https://openalex.org/C207405024', 'wikidata': 'https://www.wikidata.org/wiki/Q207348', 'display_name': 'Semigroup', 'level': 2, 'score': 0.69440246}, {'id': 'https://openalex.org/C182306322', 'wikidata': 'https://www.wikidata.org/wiki/Q1779371', 'display_name': 'Order (exchange)', 'level': 2, 'score': 0.69249475}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.54272574}, {'id': 'https://openalex.org/C204241405', 'wikidata': 'https://www.wikidata.org/wiki/Q461499', 'display_name': 'Transformation (genetics)', 'level': 3, 'score': 0.52597}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.51679265}, {'id': 'https://openalex.org/C194053038', 'wikidata': 'https://www.wikidata.org/wiki/Q7245087', 'display_name': 'Principal part', 'level': 2, 'score': 0.45052227}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.08351198}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.082591146}, {'id': 'https://openalex.org/C55493867', 'wikidata': 'https://www.wikidata.org/wiki/Q7094', 'display_name': 'Biochemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C10138342', 'wikidata': 'https://www.wikidata.org/wiki/Q43015', 'display_name': 'Finance', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C162324750', 'wikidata': 'https://www.wikidata.org/wiki/Q8134', 'display_name': 'Economics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C111919701', 'wikidata': 'https://www.wikidata.org/wiki/Q9135', 'display_name': 'Operating system', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/pl00005983', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S75897683', 'display_name': 'Semigroup Forum', 'issn_l': '0037-1912', 'issn': ['0037-1912', '1432-2137'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'score': 0.49, 'id': 'https://metadata.un.org/sdg/10', 'display_name': 'Reduced inequalities'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 4, 'referenced_works': ['https://openalex.org/W1518454564', 'https://openalex.org/W1969737285', 'https://openalex.org/W2052621380', 'https://openalex.org/W2101387847'], 'related_works': ['https://openalex.org/W4301694665', 'https://openalex.org/W2394396621', 'https://openalex.org/W2392350793', 'https://openalex.org/W2385629060', 'https://openalex.org/W2381927072', 'https://openalex.org/W2379779959', 'https://openalex.org/W2375966960', 'https://openalex.org/W2366352970', 'https://openalex.org/W2350188767', 'https://openalex.org/W2015623773'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2015343295', 'counts_by_year': [{'year': 2016, 'cited_by_count': 1}, {'year': 2013, 'cited_by_count': 1}, {'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-09-19T08:33:48.632080', 'created_date': '2016-06-24'}