{"title":"关于 k 矩阵上有限维模块变形的说明","authors":"Pedro Rizzo, José A. Vélez-Marulanda","doi":"10.1080/00927872.2024.2387048","DOIUrl":null,"url":null,"abstract":"Let k be a field, and let Λ be a (not necessarily finite dimensional) k-algebra. Let V be an indecomposable left Λ-module which is finite dimensional over k and such that dimkExtΛ1(V,V)≤1. Assume f...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"14 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A note on deformations of finite dimensional modules over k-algebras\",\"authors\":\"Pedro Rizzo, José A. Vélez-Marulanda\",\"doi\":\"10.1080/00927872.2024.2387048\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let k be a field, and let Λ be a (not necessarily finite dimensional) k-algebra. Let V be an indecomposable left Λ-module which is finite dimensional over k and such that dimkExtΛ1(V,V)≤1. Assume f...\",\"PeriodicalId\":50663,\"journal\":{\"name\":\"Communications in Algebra\",\"volume\":\"14 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-08-19\",\"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/10.1080/00927872.2024.2387048\",\"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/10.1080/00927872.2024.2387048","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 k 是一个域，让Λ 是一个（不一定是有限维的）k-代数。让 V 是一个不可分解的左Λ模块，它在 k 上是有限维的，且 dimkExtΛ1(V,V)≤1。假设 f...
A note on deformations of finite dimensional modules over k-algebras
Let k be a field, and let Λ be a (not necessarily finite dimensional) k-algebra. Let V be an indecomposable left Λ-module which is finite dimensional over k and such that dimkExtΛ1(V,V)≤1. Assume f...
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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