{"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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"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\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-08-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/00927872.2024.2387048\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00927872.2024.2387048","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","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...