{"id":"https://openalex.org/W631936403","doi":null,"title":"Fundamentals of Abstract Algebra","display_name":"Fundamentals of Abstract Algebra","publication_year":1996,"publication_date":"1996-11-13","ids":{"openalex":"https://openalex.org/W631936403","mag":"631936403"},"language":"en","primary_location":{"id":"pmh:oai:bibcyt.ucla.edu.ve:T070300010320/0","doi":null,"is_oa":false,"landing_page_url":"http://bibcyt.ucla.edu.ve/cgi-win/be_alex.exe?Acceso=T070300010320/0&Nombrebd=Bciucla","pdf_url":null,"source":{"id":"https://openalex.org/S7407064187","display_name":"UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I19325673","host_organization_name":"Universidad Centroccidental Lisandro Alvarado","host_organization_lineage":["https://openalex.org/I19325673"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5112038923","display_name":"D. S. Malik","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D. S. Malik","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020620391","display_name":"John Nelson Mordeson","orcid":"https://orcid.org/0000-0001-5808-0793","observed_orcids":["https://orcid.org/0000-0001-5808-0793"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"John M. Mordeson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5062872650","display_name":"M. K. Sen","orcid":"https://orcid.org/0000-0003-0364-7726","observed_orcids":["https://orcid.org/0000-0003-0364-7726"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. K. Sen","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-0364-7726","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.06149116,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9320999979972839,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9320999979972839,"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":0.015799999237060547,"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/T10849","display_name":"Finite Group Theory Research","score":0.013799999840557575,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/abstract-algebra","display_name":"abstract algebra","score":0.9819999933242798},{"id":"https://openalex.org/keywords/groups","display_name":"groups","score":0.7620000243186951},{"id":"https://openalex.org/keywords/permutation-groups","display_name":"permutation groups","score":0.8700000047683716},{"id":"https://openalex.org/keywords/subgroups","display_name":"subgroups","score":0.7789999842643738},{"id":"https://openalex.org/keywords/normal-subgroups","display_name":"normal subgroups","score":0.9819999933242798},{"id":"https://openalex.org/keywords/homomorphisms","display_name":"homomorphisms","score":0.8849999904632568},{"id":"https://openalex.org/keywords/sylow-theorems","display_name":"Sylow theorems","score":0.8949999809265137},{"id":"https://openalex.org/keywords/solvable-groups","display_name":"solvable groups","score":0.9909999966621399},{"id":"https://openalex.org/keywords/nilpotent-groups","display_name":"nilpotent groups","score":0.9990000128746033},{"id":"https://openalex.org/keywords/finitely-generated-abelian-groups","display_name":"finitely generated abelian groups","score":0.9789999723434448},{"id":"https://openalex.org/keywords/rings","display_name":"rings","score":0.9900000095367432},{"id":"https://openalex.org/keywords/polynomial-rings","display_name":"polynomial rings","score":0.7580000162124634},{"id":"https://openalex.org/keywords/euclidean-rings","display_name":"Euclidean rings","score":0.9350000023841858},{"id":"https://openalex.org/keywords/unique-factorization-domains","display_name":"unique factorization domains","score":0.9990000128746033},{"id":"https://openalex.org/keywords/noetherian-rings","display_name":"Noetherian rings","score":0.7450000047683716},{"id":"https://openalex.org/keywords/artinian-rings","display_name":"Artinian rings","score":0.9269999861717224},{"id":"https://openalex.org/keywords/modules","display_name":"modules","score":0.9350000023841858},{"id":"https://openalex.org/keywords/vector-spaces","display_name":"vector spaces","score":0.9819999933242798},{"id":"https://openalex.org/keywords/matrix-rings","display_name":"matrix rings","score":0.9459999799728394},{"id":"https://openalex.org/keywords/field-extensions","display_name":"field extensions","score":0.9990000128746033},{"id":"https://openalex.org/keywords/algebraic-extensions","display_name":"algebraic extensions","score":0.8920000195503235},{"id":"https://openalex.org/keywords/finite-fields","display_name":"finite fields","score":0.8109999895095825},{"id":"https://openalex.org/keywords/galois-theory","display_name":"Galois theory","score":0.9589999914169312},{"id":"https://openalex.org/keywords/normal-extensions","display_name":"normal extensions","score":0.7649999856948853},{"id":"https://openalex.org/keywords/geometric-construction","display_name":"geometric construction","score":0.9739999771118164},{"id":"https://openalex.org/keywords/binary-codes","display_name":"binary codes","score":0.9760000109672546},{"id":"https://openalex.org/keywords/grobner-bases","display_name":"Gr\u00f6bner bases","score":0.9710000157356262}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8596377372741699},{"id":"https://openalex.org/C9485509","wikidata":"https://www.wikidata.org/wiki/Q1455652","display_name":"Polynomial ring","level":3,"score":0.5453930497169495},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5141115784645081},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.4560617506504059},{"id":"https://openalex.org/C124535231","wikidata":"https://www.wikidata.org/wiki/Q1057919","display_name":"Sylow theorems","level":4,"score":0.4494119882583618},{"id":"https://openalex.org/C196434610","wikidata":"https://www.wikidata.org/wiki/Q1208658","display_name":"Ring theory","level":4,"score":0.4435338079929352},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.44254380464553833},{"id":"https://openalex.org/C2779057376","wikidata":"https://www.wikidata.org/wiki/Q3342676","display_name":"Noetherian","level":3,"score":0.436436265707016},{"id":"https://openalex.org/C32268108","wikidata":"https://www.wikidata.org/wiki/Q942423","display_name":"Projective module","level":3,"score":0.43269068002700806},{"id":"https://openalex.org/C78313660","wikidata":"https://www.wikidata.org/wiki/Q727659","display_name":"Commutative algebra","level":2,"score":0.4325448274612427},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4212955832481384},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38026440143585205},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.28561902046203613},{"id":"https://openalex.org/C2777404646","wikidata":"https://www.wikidata.org/wiki/Q1057968","display_name":"Finite group","level":3,"score":0.26074299216270447},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.22754257917404175},{"id":"https://openalex.org/C161491579","wikidata":"https://www.wikidata.org/wiki/Q858656","display_name":"Commutative ring","level":3,"score":0.22403573989868164},{"id":"https://openalex.org/C162860070","wikidata":"https://www.wikidata.org/wiki/Q142140","display_name":"Finitely-generated abelian group","level":2,"score":0.22176912426948547},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.1134149432182312},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:bibcyt.ucla.edu.ve:T070300010320/0","doi":null,"is_oa":false,"landing_page_url":"http://bibcyt.ucla.edu.ve/cgi-win/be_alex.exe?Acceso=T070300010320/0&Nombrebd=Bciucla","pdf_url":null,"source":{"id":"https://openalex.org/S7407064187","display_name":"UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I19325673","host_organization_name":"Universidad Centroccidental Lisandro Alvarado","host_organization_lineage":["https://openalex.org/I19325673"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},{"id":"mag:631936403","doi":null,"is_oa":false,"landing_page_url":"http://ci.nii.ac.jp/ncid/BA30881770","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2052076085","https://openalex.org/W629779079","https://openalex.org/W434116008","https://openalex.org/W560129434","https://openalex.org/W1605171546","https://openalex.org/W3128127931","https://openalex.org/W4242739390","https://openalex.org/W7045205368","https://openalex.org/W7057416202","https://openalex.org/W2945799571"],"abstract_inverted_index":{"Sets,":[0],"relations":[1],"and":[2,10,14,21,33,51,55,59,75,86],"integers":[3],"introduction":[4,28],"to":[5,29,88],"groups":[6,8,17,23,27],"permution":[7],"subgroups":[9,12],"normal":[11,77],"homomorphisms":[13,34],"isomorphisms":[15],"of":[16,36,40,69],"sylow":[18],"theorem":[19],"solvable":[20],"nilpotent":[22],"finitely":[24],"generated":[25],"abelian":[26],"rings":[30,37,41,43,45,57,63],"subrings,":[31],"ideals":[32,53],"extensions":[35,65,67,78],"direct":[38],"sum":[39],"polynomial":[42],"eculidean":[44],"unique":[46],"factorization":[47],"domains":[48],"maximal,":[49],"prime":[50],"primary":[52],"noetherian":[54],"artinian":[56],"modules":[58],"vector":[60],"spaces":[61],"matrix":[62],"field":[64],"algebraic":[66],"multiplicity":[68],"roots":[70],"finite":[71],"fields":[72],"Galois":[73],"theory":[74],"applications":[76],"geometric":[79],"constructions":[80],"binary":[81],"codes":[82],"Groebner":[83],"bases":[84],"answers":[85],"hints":[87],"selected":[89],"exercises.":[90]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":5},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-10-25T09:29:13.331239","created_date":"2016-06-24T00:00:00"}
