{"id":"https://openalex.org/W1530951877","doi":"https://doi.org/10.1007/bfb0018357","title":"Unification properties of commutative theories: A categorical treatment","display_name":"Unification properties of commutative theories: A categorical treatment","publication_year":2005,"publication_date":"2005-11-22","ids":{"openalex":"https://openalex.org/W1530951877","doi":"https://doi.org/10.1007/bfb0018357","mag":"1530951877"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0018357","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0018357","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086254817","display_name":"Franz Baader","orcid":"https://orcid.org/0000-0002-4049-221X"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Franz Baader","raw_affiliation_strings":["Institut f\u00fcr Mathematische Maschinen und Datenverarbeitung (Informatik) 1, Universit\u00e4t Erlangen-N\u00fcrnberg, Martensstra\u00dfe 3, 8520, Erlangen, F.R.G","Institut f\u00fcr Mathematische Maschinen und Datenverarbeitung (Informatik) 1, Universit\u00e4t Erlangen-N\u00fcrnberg, Erlangen, F.R.G"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematische Maschinen und Datenverarbeitung (Informatik) 1, Universit\u00e4t Erlangen-N\u00fcrnberg, Martensstra\u00dfe 3, 8520, Erlangen, F.R.G","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematische Maschinen und Datenverarbeitung (Informatik) 1, Universit\u00e4t Erlangen-N\u00fcrnberg, Erlangen, F.R.G","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086254817"],"corresponding_institution_ids":["https://openalex.org/I181369854"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.12600229,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"273","last_page":"299"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.9970999956130981,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9952999949455261,"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/unification","display_name":"Unification","score":0.8530188798904419},{"id":"https://openalex.org/keywords/finitary","display_name":"Finitary","score":0.7485388517379761},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7438099980354309},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.7299450635910034},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.6678897142410278},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6218140721321106},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.5889158844947815},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.5848469138145447},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.44500070810317993},{"id":"https://openalex.org/keywords/abelian-category","display_name":"Abelian category","score":0.4366138279438019},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07092493772506714}],"concepts":[{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.8530188798904419},{"id":"https://openalex.org/C2778003309","wikidata":"https://www.wikidata.org/wiki/Q5450381","display_name":"Finitary","level":2,"score":0.7485388517379761},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7438099980354309},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.7299450635910034},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6678897142410278},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6218140721321106},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.5889158844947815},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.5848469138145447},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.44500070810317993},{"id":"https://openalex.org/C186921422","wikidata":"https://www.wikidata.org/wiki/Q318737","display_name":"Abelian category","level":3,"score":0.4366138279438019},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07092493772506714},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bfb0018357","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0018357","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1503828605","https://openalex.org/W1523315298","https://openalex.org/W1585649433","https://openalex.org/W1599633992","https://openalex.org/W1607161872","https://openalex.org/W1979101142","https://openalex.org/W1991466985","https://openalex.org/W1993370765","https://openalex.org/W1996269215","https://openalex.org/W2016416448","https://openalex.org/W2017637575","https://openalex.org/W2025331328","https://openalex.org/W2033288425","https://openalex.org/W2042924775","https://openalex.org/W2047669821","https://openalex.org/W2048748607","https://openalex.org/W2056016391","https://openalex.org/W2057182494","https://openalex.org/W2057642259","https://openalex.org/W2075469844","https://openalex.org/W2075488055","https://openalex.org/W2077725083","https://openalex.org/W2090705567","https://openalex.org/W2110148089","https://openalex.org/W2118745196","https://openalex.org/W2148193906","https://openalex.org/W2163841074","https://openalex.org/W2231521611","https://openalex.org/W2327816196","https://openalex.org/W2529906233","https://openalex.org/W2798613517","https://openalex.org/W2913570526","https://openalex.org/W3127823229","https://openalex.org/W4236632862","https://openalex.org/W4238858352","https://openalex.org/W6631353247","https://openalex.org/W6635468086","https://openalex.org/W6656763809","https://openalex.org/W6669417358","https://openalex.org/W6702098505","https://openalex.org/W6750225268","https://openalex.org/W6758914109","https://openalex.org/W6830878039","https://openalex.org/W6926355476","https://openalex.org/W6945204367","https://openalex.org/W7066789295"],"related_works":["https://openalex.org/W4288102793","https://openalex.org/W3098170724","https://openalex.org/W4206837156","https://openalex.org/W2975654559","https://openalex.org/W2085314983","https://openalex.org/W4286247383","https://openalex.org/W3191856054","https://openalex.org/W2491308346","https://openalex.org/W2017880548","https://openalex.org/W3148961533"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
