{"id":"https://openalex.org/W4400916795","doi":"https://doi.org/10.34293/sijash.v12i1.7764","title":"A Study on the Classification of All Simple Commutative Near-Rings upto Isomorphism","display_name":"A Study on the Classification of All Simple Commutative Near-Rings upto Isomorphism","publication_year":2024,"publication_date":"2024-07-01","ids":{"openalex":"https://openalex.org/W4400916795","doi":"https://doi.org/10.34293/sijash.v12i1.7764"},"language":"en","primary_location":{"id":"doi:10.34293/sijash.v12i1.7764","doi":"https://doi.org/10.34293/sijash.v12i1.7764","is_oa":true,"landing_page_url":"https://doi.org/10.34293/sijash.v12i1.7764","pdf_url":"https://shanlaxjournals.in/journals/index.php/sijash/article/download/7764/7010","source":{"id":"https://openalex.org/S4210204864","display_name":"Shanlax International Journal of Arts Science and Humanities","issn_l":"2321-788X","issn":["2321-788X","2582-0397"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Shanlax International Journal of Arts, Science and Humanities","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://shanlaxjournals.in/journals/index.php/sijash/article/download/7764/7010","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092955610","display_name":"Er. E. Thambiraja","orcid":"https://orcid.org/0009-0001-4474-1930","observed_orcids":["https://orcid.org/0009-0001-4474-1930"]},"institutions":[{"id":"https://openalex.org/I4210098610","display_name":"Tamil Nadu Open University","ror":"https://ror.org/013aqa754","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210098610"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"E Thambiraja","raw_affiliation_strings":["Assistant Professor, Department of Mathematics, School of Sciences, Tamil Nadu Open University, Chennai, Tamil Nadu, India"],"raw_orcid":"https://orcid.org/0009-0001-4474-1930","affiliations":[{"raw_affiliation_string":"Assistant Professor, Department of Mathematics, School of Sciences, Tamil Nadu Open University, Chennai, Tamil Nadu, India","institution_ids":["https://openalex.org/I4210098610"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5092955610"],"corresponding_institution_ids":["https://openalex.org/I4210098610"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"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":null,"biblio":{"volume":"12","issue":"1","first_page":"31","last_page":"39"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9990000128746033,"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":0.9990000128746033,"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":0.0003000000142492354,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/classification-up-to-isomorphism","display_name":"classification up to isomorphism","score":0.9679999947547913},{"id":"https://openalex.org/keywords/semisimple-algebras","display_name":"semisimple algebras","score":0.7839999794960022},{"id":"https://openalex.org/keywords/algebraic-number-theory","display_name":"algebraic number theory","score":0.6880000233650208}],"concepts":[{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.8401578664779663},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7124842405319214},{"id":"https://openalex.org/C161491579","wikidata":"https://www.wikidata.org/wiki/Q858656","display_name":"Commutative ring","level":3,"score":0.5780318379402161},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.559555172920227},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.5495055913925171},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5053148865699768},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3282972574234009},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3231308162212372},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.14638441801071167},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.12322250008583069},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.06814390420913696},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06000739336013794},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.054502785205841064}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.34293/sijash.v12i1.7764","doi":"https://doi.org/10.34293/sijash.v12i1.7764","is_oa":true,"landing_page_url":"https://doi.org/10.34293/sijash.v12i1.7764","pdf_url":"https://shanlaxjournals.in/journals/index.php/sijash/article/download/7764/7010","source":{"id":"https://openalex.org/S4210204864","display_name":"Shanlax International Journal of Arts Science and Humanities","issn_l":"2321-788X","issn":["2321-788X","2582-0397"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Shanlax International Journal of Arts, Science and Humanities","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.34293/sijash.v12i1.7764","doi":"https://doi.org/10.34293/sijash.v12i1.7764","is_oa":true,"landing_page_url":"https://doi.org/10.34293/sijash.v12i1.7764","pdf_url":"https://shanlaxjournals.in/journals/index.php/sijash/article/download/7764/7010","source":{"id":"https://openalex.org/S4210204864","display_name":"Shanlax International Journal of Arts Science and Humanities","issn_l":"2321-788X","issn":["2321-788X","2582-0397"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Shanlax International Journal of Arts, Science and Humanities","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400916795.pdf","grobid_xml":"https://content.openalex.org/works/W4400916795.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W2006800429","https://openalex.org/W2043808649","https://openalex.org/W2149987669","https://openalex.org/W4200222025","https://openalex.org/W4293193836","https://openalex.org/W4298054792","https://openalex.org/W4390769218"],"related_works":["https://openalex.org/W2907806131","https://openalex.org/W77923140","https://openalex.org/W611753095","https://openalex.org/W1800472088","https://openalex.org/W604001086","https://openalex.org/W7134382158","https://openalex.org/W63454479","https://openalex.org/W1980205662","https://openalex.org/W2065475956","https://openalex.org/W2531813374"],"abstract_inverted_index":{"This":[0],"research":[1],"paper":[2],"aims":[3],"to":[4,11,48],"classify":[5],"all":[6],"simple":[7,46],"commutative":[8],"Near-Rings":[9],"up":[10],"isomorphism,":[12],"which":[13,105],"are":[14,79],"rings":[15,53],"with":[16,90],"no":[17,21],"zero":[18],"divisors":[19],"and":[20,41,98,114],"ideals":[22,87],"containing":[23,88],"a":[24],"nonzero":[25],"element":[26],"that":[27],"is":[28],"not":[29],"prime":[30,91],"ideal.":[31],"The":[32,93],"authors":[33],"use":[34],"various":[35],"techniques":[36],"from":[37],"algebraic":[38,73],"number":[39,115],"theory":[40,43],"representation":[42],"of":[44,51,103,111],"semi":[45],"algebras":[47],"construct":[49],"representations":[50],"these":[52,66],"over":[54],"the":[55,101],"integers":[56],"or":[57,85],"rational":[58],"numbers.":[59],"They":[60],"also":[61],"provide":[62],"examples":[63],"showing":[64],"how":[65],"classes":[67],"can":[68],"be":[69],"distinguished":[70],"by":[71],"their":[72],"properties,":[74],"such":[75],"as":[76],"whether":[77],"they":[78],"PID":[80],"(prime":[81],"idempotent":[82],"domain),":[83],"zero-divisorless,":[84],"have":[86],"elements":[89],"index.":[92],"study":[94],"contributes":[95],"new":[96],"results":[97],"insights":[99],"into":[100],"classification":[102],"near-rings,":[104],"has":[106],"implications":[107],"for":[108],"other":[109],"areas":[110],"abstract":[112],"algebra":[113],"theory.":[116]},"counts_by_year":[],"updated_date":"2026-09-21T07:43:02.447757","created_date":"2024-07-24T00:00:00"}