A right module M over an associative ring with unity is a QTAG-module if every finitely generated submodule of any homomorphic image of M is a direct sum of uniserial modules. The main aim of this paper is to investigate the direct sums of countably generated QTAG-modules and obtain some significant results related to these modules.
{"title":"On countably generated QTAG-modules","authors":"F. Sikander","doi":"10.28919/al/4280","DOIUrl":"https://doi.org/10.28919/al/4280","url":null,"abstract":"A right module M over an associative ring with unity is a QTAG-module if every finitely generated submodule of any homomorphic image of M is a direct sum of uniserial modules. The main aim of this paper is to investigate the direct sums of countably generated QTAG-modules and obtain some significant results related to these modules.","PeriodicalId":119338,"journal":{"name":"Algebra Letters","volume":"93 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125974880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, the concepts of α-translation of intuitionistic fuzzy AT-subalgebras and α-translation of intuitionistic fuzzy AT-ideals on AT-algebras are introduced. The notion of intuitionistic fuzzy extensions and intuitionistic fuzzy multiplications of fuzzy AT-ideals with several related properties are investigated. Also the relationships between α-translation of intuitionistic fuzzy, intuitionistic fuzzy extensions and intuitionistic fuzzy multiplications of fuzzy AT-ideals are investigated.
{"title":"α-Translations of intuitionistic fuzzy (at-subalgebras) at-ideals on at-algebras","authors":"A. Hameed, Esraa Kareem Kadhim","doi":"10.28919/al/4145","DOIUrl":"https://doi.org/10.28919/al/4145","url":null,"abstract":"In this paper, the concepts of α-translation of intuitionistic fuzzy AT-subalgebras and α-translation of intuitionistic fuzzy AT-ideals on AT-algebras are introduced. The notion of intuitionistic fuzzy extensions and intuitionistic fuzzy multiplications of fuzzy AT-ideals with several related properties are investigated. Also the relationships between α-translation of intuitionistic fuzzy, intuitionistic fuzzy extensions and intuitionistic fuzzy multiplications of fuzzy AT-ideals are investigated.","PeriodicalId":119338,"journal":{"name":"Algebra Letters","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115944629","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we have introduced and discussed of intuitionistic fuzzy vector subspaces under norms (a t-norm T and a t-conorm C). This work is an attempt to study purely algebraic properties of them.
{"title":"Norms over intuitionistic fuzzy vector spaces","authors":"R. Rasuli","doi":"10.28919/al/4134","DOIUrl":"https://doi.org/10.28919/al/4134","url":null,"abstract":"In this paper, we have introduced and discussed of intuitionistic fuzzy vector subspaces under norms (a t-norm T and a t-conorm C). This work is an attempt to study purely algebraic properties of them.","PeriodicalId":119338,"journal":{"name":"Algebra Letters","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129271001","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A study on the symmetrıc numerıcal semıgroups","authors":"","doi":"10.28919/al/4872","DOIUrl":"https://doi.org/10.28919/al/4872","url":null,"abstract":"","PeriodicalId":119338,"journal":{"name":"Algebra Letters","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114710373","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Note on the homology equivalence of topological operads","authors":"","doi":"10.28919/al/7724","DOIUrl":"https://doi.org/10.28919/al/7724","url":null,"abstract":"","PeriodicalId":119338,"journal":{"name":"Algebra Letters","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125459672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An approximation to second exterior derivation of high order universal modules","authors":"","doi":"10.28919/al/5197","DOIUrl":"https://doi.org/10.28919/al/5197","url":null,"abstract":"","PeriodicalId":119338,"journal":{"name":"Algebra Letters","volume":"378 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122708607","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On a non-solvable group satisfying xG=(x−1)G","authors":"","doi":"10.28919/al/7634","DOIUrl":"https://doi.org/10.28919/al/7634","url":null,"abstract":"","PeriodicalId":119338,"journal":{"name":"Algebra Letters","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116632591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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