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Classification of 1-absorbing comultiplication modules over a pullback ring 回拉环上吸1乘模的分类
IF 0.9
Categories and General Algebraic Structures with Applications Pub Date : 2023-02-01 DOI: 10.52547/cgasa.2023.103143
F. Farzalipour, P. Ghiasvand
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引用次数: 0
On (semi)topology L-algebras 关于(半)拓扑l -代数
IF 0.9
Categories and General Algebraic Structures with Applications Pub Date : 2023-02-01 DOI: 10.52547/cgasa.2023.103121
M. Aaly Kologani
{"title":"On (semi)topology L-algebras","authors":"M. Aaly Kologani","doi":"10.52547/cgasa.2023.103121","DOIUrl":"https://doi.org/10.52547/cgasa.2023.103121","url":null,"abstract":"","PeriodicalId":41919,"journal":{"name":"Categories and General Algebraic Structures with Applications","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45175650","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}
引用次数: 0
The prime state ideal theorem in state residuated lattices 态剩格中的素态理想定理
IF 0.9
Categories and General Algebraic Structures with Applications Pub Date : 2023-02-01 DOI: 10.52547/cgasa.2023.103288
Francis Woumfo, Etienne Romuald Temgoua, C. Lélé
{"title":"The prime state ideal theorem in state residuated lattices","authors":"Francis Woumfo, Etienne Romuald Temgoua, C. Lélé","doi":"10.52547/cgasa.2023.103288","DOIUrl":"https://doi.org/10.52547/cgasa.2023.103288","url":null,"abstract":"","PeriodicalId":41919,"journal":{"name":"Categories and General Algebraic Structures with Applications","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44755460","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}
引用次数: 0
Formal balls of Q-categories q类的正式舞会
IF 0.9
Categories and General Algebraic Structures with Applications Pub Date : 2023-02-01 DOI: 10.52547/cgasa.2022.102914
Xianbo Yang, Dexue Zhang
{"title":"Formal balls of Q-categories","authors":"Xianbo Yang, Dexue Zhang","doi":"10.52547/cgasa.2022.102914","DOIUrl":"https://doi.org/10.52547/cgasa.2022.102914","url":null,"abstract":"","PeriodicalId":41919,"journal":{"name":"Categories and General Algebraic Structures with Applications","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49003049","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}
引用次数: 0
On saturated prefilter monads 在饱和预滤波器单峰上
IF 0.9
Categories and General Algebraic Structures with Applications Pub Date : 2023-02-01 DOI: 10.52547/cgasa.2022.102934
Gaoxun Zhang, W. He
{"title":"On saturated prefilter monads","authors":"Gaoxun Zhang, W. He","doi":"10.52547/cgasa.2022.102934","DOIUrl":"https://doi.org/10.52547/cgasa.2022.102934","url":null,"abstract":"","PeriodicalId":41919,"journal":{"name":"Categories and General Algebraic Structures with Applications","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45061890","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}
引用次数: 1
Action graph of a semigroup act & its functorial connection 半群行为的作用图及其函数联系
IF 0.9
Categories and General Algebraic Structures with Applications Pub Date : 2023-02-01 DOI: 10.52547/cgasa.2022.103019
Promit Mukherjee, R. Mukherjee, S. Sardar
{"title":"Action graph of a semigroup act & its functorial connection","authors":"Promit Mukherjee, R. Mukherjee, S. Sardar","doi":"10.52547/cgasa.2022.103019","DOIUrl":"https://doi.org/10.52547/cgasa.2022.103019","url":null,"abstract":"","PeriodicalId":41919,"journal":{"name":"Categories and General Algebraic Structures with Applications","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42401633","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}
引用次数: 0
Persian Abstracts, Vol. 18, No. 1. 《波斯文摘》，第18卷，第1期。
IF 0.9
Categories and General Algebraic Structures with Applications Pub Date : 2023-02-01 DOI: 10.52547/cgasa.2023.103291
{"title":"Persian Abstracts, Vol. 18, No. 1.","authors":"","doi":"10.52547/cgasa.2023.103291","DOIUrl":"https://doi.org/10.52547/cgasa.2023.103291","url":null,"abstract":"","PeriodicalId":41919,"journal":{"name":"Categories and General Algebraic Structures with Applications","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44202796","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}
引用次数: 0
Cover for Vol. 18, No. 1. 第18卷第1期封面。
IF 0.9
Categories and General Algebraic Structures with Applications Pub Date : 2023-02-01 DOI: 10.52547/cgasa.2023.103290
{"title":"Cover for Vol. 18, No. 1.","authors":"","doi":"10.52547/cgasa.2023.103290","DOIUrl":"https://doi.org/10.52547/cgasa.2023.103290","url":null,"abstract":"","PeriodicalId":41919,"journal":{"name":"Categories and General Algebraic Structures with Applications","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41934623","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}
引用次数: 0
On injective objects and existence of injective hulls in 𝑄-TOP/(𝑌, 𝜎) 关于𝑄-TOP/(𝑌，)中注入物和注入壳的存在性
IF 0.9
Categories and General Algebraic Structures with Applications Pub Date : 2022-07-01 DOI: 10.52547/cgasa.2022.102640
Harshita Tiwari, R. Srivastava
{"title":"On injective objects and existence of injective hulls in 𝑄-TOP/(𝑌, 𝜎)","authors":"Harshita Tiwari, R. Srivastava","doi":"10.52547/cgasa.2022.102640","DOIUrl":"https://doi.org/10.52547/cgasa.2022.102640","url":null,"abstract":". In this paper, motivated by Cagliari and Mantovani, we have obtained a characterization of injective objects (with respect to the class of embeddings in the category 𝑄 - TOP of 𝑄 -topological spaces) in the comma category 𝑄 - TOP /( 𝑌, 𝜎 ) , when ( 𝑌, 𝜎 ) is a stratified 𝑄 -topological space, with the help of their 𝑇 0 -reflection. Further, we have proved that for any 𝑄 -topological space ( 𝑌, 𝜎 ) , the existence of an injective hull of (( 𝑋, 𝜏 ) , 𝑓 ) in the comma category 𝑄 - TOP /( 𝑌, 𝜎 ) is equivalent to the existence of an injective hull of its 𝑇 0 -reflection (( ˜ 𝑋, ˜ 𝜏 ) , ˜ 𝑓 ) in the comma category 𝑄 - TOP /( ˜ 𝑌, ˜ 𝜎 ) (and in the comma category 𝑄 - TOP 0 /( ˜ 𝑌, ˜ 𝜎 ) , where 𝑄 - TOP 0 denotes the category of 𝑇 0 - 𝑄 -topological spaces).","PeriodicalId":41919,"journal":{"name":"Categories and General Algebraic Structures with Applications","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48547457","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}
引用次数: 0
Quantum determinants in ribbon category 色带范畴中的量子决定因素
IF 0.9
Categories and General Algebraic Structures with Applications Pub Date : 2022-07-01 DOI: 10.52547/cgasa.2022.102621
H. Choulli, Khalid Draoui, H. Mouanis
{"title":"Quantum determinants in ribbon category","authors":"H. Choulli, Khalid Draoui, H. Mouanis","doi":"10.52547/cgasa.2022.102621","DOIUrl":"https://doi.org/10.52547/cgasa.2022.102621","url":null,"abstract":". The aim of this paper is to introduce an abstract notion of determinant which we call quantum determinant, verifying the properties of the classical one. We introduce R− basis and R− solution on rigid objects of a monoidal 𝐴𝑏 − category, for a compatibility relation R , such that we require the notion of duality introduced by Joyal and Street, the notion given by Yetter and Freyd and the classical one, then we show that R− solutions over a semisimple ribbon 𝐴𝑏 − category form as well a semisimple ribbon 𝐴𝑏 − category. This allows us to define a concept of so-called quantum determinant in ribbon category. Moreover, we establish relations between these and the classical determinants. Some properties of the quantum determinants are exhibited.","PeriodicalId":41919,"journal":{"name":"Categories and General Algebraic Structures with Applications","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47722746","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}
引用次数: 0
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