Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2889565762', 'doi': 'https://doi.org/10.31390/gradschool_disstheses.1368', 'title': 'Modules of Quaternions and Their Related Quadratic Forms.', 'display_name': 'Modules of Quaternions and Their Related Quadratic Forms.', 'publication_year': 1967, 'publication_date': '1967-01-01', 'ids': {'openalex': 'https://openalex.org/W2889565762', 'doi': 'https://doi.org/10.31390/gradschool_disstheses.1368', 'mag': '2889565762'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.31390/gradschool_disstheses.1368', 'pdf_url': 'https://repository.lsu.edu/cgi/viewcontent.cgi?article=2367&context=gradschool_disstheses', 'source': None, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'dissertation', 'type_crossref': 'dissertation', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://repository.lsu.edu/cgi/viewcontent.cgi?article=2367&context=gradschool_disstheses', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5049966209', 'display_name': 'C. Carter Waid', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I134386540', 'display_name': 'Louisiana State University Agricultural Center', 'ror': 'https://ror.org/01b8rza40', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I134386540']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'Charles Waid', 'raw_affiliation_strings': ['Louisiana State University and Agricultural & Mechanical College'], 'affiliations': [{'raw_affiliation_string': 'Louisiana State University and Agricultural & Mechanical College', 'institution_ids': ['https://openalex.org/I134386540']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5049966209'], 'corresponding_institution_ids': ['https://openalex.org/I134386540'], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 4, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 75, 'max': 77}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12037', 'display_name': 'Quaternionic Analysis and Applications', 'score': 0.9905, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, '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/T12037', 'display_name': 'Quaternionic Analysis and Applications', 'score': 0.9905, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, '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 Algorithms and Iterative Methods', 'score': 0.934, '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/T12504', 'display_name': 'Foundations of Geometric Mathematics', 'score': 0.9272, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/quaternionic-analysis', 'display_name': 'Quaternionic Analysis', 'score': 0.58215}, {'id': 'https://openalex.org/keywords/trigonometry', 'display_name': 'Trigonometry', 'score': 0.531042}, {'id': 'https://openalex.org/keywords/iterative-methods', 'display_name': 'Iterative Methods', 'score': 0.529523}, {'id': 'https://openalex.org/keywords/algebraic', 'display_name': 'Algebraic', 'score': 0.518405}, {'id': 'https://openalex.org/keywords/matrix-computations', 'display_name': 'Matrix Computations', 'score': 0.514405}], 'concepts': [{'id': 'https://openalex.org/C200127275', 'wikidata': 'https://www.wikidata.org/wiki/Q173853', 'display_name': 'Quaternion', 'level': 2, 'score': 0.85096645}, {'id': 'https://openalex.org/C129844170', 'wikidata': 'https://www.wikidata.org/wiki/Q41299', 'display_name': 'Quadratic equation', 'level': 2, 'score': 0.58781004}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5303049}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.40424767}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.37003797}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.13539487}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.31390/gradschool_disstheses.1368', 'pdf_url': 'https://repository.lsu.edu/cgi/viewcontent.cgi?article=2367&context=gradschool_disstheses', 'source': None, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.31390/gradschool_disstheses.1368', 'pdf_url': 'https://repository.lsu.edu/cgi/viewcontent.cgi?article=2367&context=gradschool_disstheses', 'source': None, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 4, 'referenced_works': ['https://openalex.org/W160991457', 'https://openalex.org/W2025893050', 'https://openalex.org/W4234048306', 'https://openalex.org/W4254986316'], 'related_works': ['https://openalex.org/W627165498', 'https://openalex.org/W4391375266', 'https://openalex.org/W4386073732', 'https://openalex.org/W4250801550', 'https://openalex.org/W4225472102', 'https://openalex.org/W3127350447', 'https://openalex.org/W3108700312', 'https://openalex.org/W2913740251', 'https://openalex.org/W2349259413', 'https://openalex.org/W2058788062'], 'abstract_inverted_index': {'2': [0], 'with': [1], 'xQ': [2], '+': [3, 4, 6, 9, 11], 'x2': [5], ',': [7], 'yQ': [8], 'yx': [10], 'yg': [12]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2889565762', 'counts_by_year': [{'year': 2022, 'cited_by_count': 1}], 'updated_date': '2024-09-12T16:19:52.344319', 'created_date': '2018-09-27'}