{"title":"一些基本无性 p 群的向量和包络线的模块不变式","authors":"Shan Ren","doi":"10.1080/00927872.2024.2361363","DOIUrl":null,"url":null,"abstract":"Let Fp be the prime field of order p > 0 and G be an elementary abelian p-group. For some n-dimensional cohyperplane G-representations V over Fp , we show that Fp[V⊕V*]G , the invariant ring of a ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"30 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Modular invariants of a vector and a covector for some elementary abelian p-groups\",\"authors\":\"Shan Ren\",\"doi\":\"10.1080/00927872.2024.2361363\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let Fp be the prime field of order p > 0 and G be an elementary abelian p-group. For some n-dimensional cohyperplane G-representations V over Fp , we show that Fp[V⊕V*]G , the invariant ring of a ...\",\"PeriodicalId\":50663,\"journal\":{\"name\":\"Communications in Algebra\",\"volume\":\"30 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-06-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Algebra\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/00927872.2024.2361363\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Algebra","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00927872.2024.2361363","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
让 Fp 是阶数 p > 0 的素域，G 是基本无性 p 群。对于 Fp 上的某些 n 维共平面 G 表示 V，我们证明 Fp[V⊕V*]G 的不变环 ...
Modular invariants of a vector and a covector for some elementary abelian p-groups
Let Fp be the prime field of order p > 0 and G be an elementary abelian p-group. For some n-dimensional cohyperplane G-representations V over Fp , we show that Fp[V⊕V*]G , the invariant ring of a ...
期刊介绍：
Communications in Algebra presents high quality papers of original research in the field of algebra. Articles from related research areas that have a significant bearing on algebra might also be published.
Topics Covered Include:
-Commutative Algebra
-Ring Theory
-Module Theory
-Non-associative Algebra including Lie algebras, Jordan algebras
-Group Theory
-Algebraic geometry
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