Pub Date : 2024-08-01DOI: 10.1080/00927872.2024.2377390
Nicolae Ciprian Bonciocat, Rishu Garg, Jitender Singh
We provide upper bounds on the total number of irreducible factors, and in particular irreducibility criteria for some classes of bivariate polynomials f(x, y) over an arbitrary field K. Our result...
我们为任意域 K 上的一些二元多项式 f(x, y) 提供了不可还原因子总数的上限，特别是不可还原性标准。
{"title":"Some factorization results for bivariate polynomials","authors":"Nicolae Ciprian Bonciocat, Rishu Garg, Jitender Singh","doi":"10.1080/00927872.2024.2377390","DOIUrl":"https://doi.org/10.1080/00927872.2024.2377390","url":null,"abstract":"We provide upper bounds on the total number of irreducible factors, and in particular irreducibility criteria for some classes of bivariate polynomials f(x, y) over an arbitrary field K. Our result...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944329","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-01DOI: 10.1080/00927872.2024.2373374
David Meretzky, Anand Pillay
Let K be a differential field with algebraically closed field of constants CK. Let KPV∞ be the (iterated) Picard-Vessiot closure of K. Let G be a linear differential algebraic group over K, and X a...
设 K 是一个微分域，其常量代数闭域为 CK。设 KPV∞ 是 K 的（迭代）皮卡尔-维西奥封闭。
{"title":"Picard-Vessiot extensions, linear differential algebraic groups, and their torsors","authors":"David Meretzky, Anand Pillay","doi":"10.1080/00927872.2024.2373374","DOIUrl":"https://doi.org/10.1080/00927872.2024.2373374","url":null,"abstract":"Let K be a differential field with algebraically closed field of constants CK. Let KPV∞ be the (iterated) Picard-Vessiot closure of K. Let G be a linear differential algebraic group over K, and X a...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944328","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-29DOI: 10.1080/00927872.2024.2369906
William Bernardoni
We introduce a generalization of the universal valuation semiring defined by Jeffrey and Noah Giansiracusa. We then explicitly characterize the additive structure of this semiring and show that, wh...
{"title":"Applications of generalized universal valuations","authors":"William Bernardoni","doi":"10.1080/00927872.2024.2369906","DOIUrl":"https://doi.org/10.1080/00927872.2024.2369906","url":null,"abstract":"We introduce a generalization of the universal valuation semiring defined by Jeffrey and Noah Giansiracusa. We then explicitly characterize the additive structure of this semiring and show that, wh...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944330","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-27DOI: 10.1080/00927872.2024.2376167
Da Woon Jung, C. Lee, Yang Lee, Zhelin Piao
{"title":"Structure of zero-divisors to go up to related ideals","authors":"Da Woon Jung, C. Lee, Yang Lee, Zhelin Piao","doi":"10.1080/00927872.2024.2376167","DOIUrl":"https://doi.org/10.1080/00927872.2024.2376167","url":null,"abstract":"","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141798234","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-26DOI: 10.1080/00927872.2024.2377804
Xin Liu, Shoufeng Wang
{"title":"On some problems of conjugacy in semigroups","authors":"Xin Liu, Shoufeng Wang","doi":"10.1080/00927872.2024.2377804","DOIUrl":"https://doi.org/10.1080/00927872.2024.2377804","url":null,"abstract":"","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141799411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-25DOI: 10.1080/00927872.2024.2370466
J. Marovt, D. Mosić
{"title":"On G-S and C-S inverses in *-rings","authors":"J. Marovt, D. Mosić","doi":"10.1080/00927872.2024.2370466","DOIUrl":"https://doi.org/10.1080/00927872.2024.2370466","url":null,"abstract":"","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141804623","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-25DOI: 10.1080/00927872.2024.2369148
B. Saraç
{"title":"On the splitting property of rings with restricted class of injectivity domains","authors":"B. Saraç","doi":"10.1080/00927872.2024.2369148","DOIUrl":"https://doi.org/10.1080/00927872.2024.2369148","url":null,"abstract":"","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141805711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-25DOI: 10.1080/00927872.2024.2373377
Jingjing Jiang, Yan Ma, Jie Lin
{"title":"Cohomologies and deformations of relative Rota-Baxter operators on\u0000 n\u0000 -Lie superalgebras","authors":"Jingjing Jiang, Yan Ma, Jie Lin","doi":"10.1080/00927872.2024.2373377","DOIUrl":"https://doi.org/10.1080/00927872.2024.2373377","url":null,"abstract":"","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141803683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-25DOI: 10.1080/00927872.2024.2374431
N. Ahanjideh, K. Aziziheris, Mohsen Ghasemi
{"title":"The prime-power hypothesis on the codegrees of irreducible characters","authors":"N. Ahanjideh, K. Aziziheris, Mohsen Ghasemi","doi":"10.1080/00927872.2024.2374431","DOIUrl":"https://doi.org/10.1080/00927872.2024.2374431","url":null,"abstract":"","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141804358","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-23DOI: 10.1080/00927872.2024.2374430
Dilpreet Kaur, Pushpendra Singh
Let C be field of complex numbers and X be a connected quandle of prime order. We study the regular representation of X by describing the quandle ring C[X] as direct sum of right simple ideals. W...
设 C 是复数域，X 是素阶相连的 quandle。我们研究 X 的正则表达式，将 quandle 环 C[X] 描述为右简单理想的直和。W...
{"title":"Tensor product and quandle rings of connected quandles of prime order","authors":"Dilpreet Kaur, Pushpendra Singh","doi":"10.1080/00927872.2024.2374430","DOIUrl":"https://doi.org/10.1080/00927872.2024.2374430","url":null,"abstract":"Let C be field of complex numbers and X be a connected quandle of prime order. We study the regular representation of X by describing the quandle ring C[X] as direct sum of right simple ideals. W...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944331","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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