{"title":"自注入中山代数的刚性维数","authors":"Wei Hu , Xiaojuan Yin","doi":"10.1016/j.jalgebra.2024.09.033","DOIUrl":null,"url":null,"abstract":"<div><div>Rigidity dimension is a new homological dimension which is intended to measure the quality of the best resolution of an algebra. In this paper, we determine the rigidity dimensions of self-injective Nakayama algebras <span><math><msub><mrow><mi>A</mi></mrow><mrow><mi>n</mi><mo>,</mo><mi>m</mi></mrow></msub></math></span> with <em>n</em> simple modules and the Loewy length <span><math><mi>m</mi><mo>⩾</mo><mi>n</mi></math></span>.</div></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Rigidity dimensions of self-injective Nakayama algebras\",\"authors\":\"Wei Hu , Xiaojuan Yin\",\"doi\":\"10.1016/j.jalgebra.2024.09.033\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Rigidity dimension is a new homological dimension which is intended to measure the quality of the best resolution of an algebra. In this paper, we determine the rigidity dimensions of self-injective Nakayama algebras <span><math><msub><mrow><mi>A</mi></mrow><mrow><mi>n</mi><mo>,</mo><mi>m</mi></mrow></msub></math></span> with <em>n</em> simple modules and the Loewy length <span><math><mi>m</mi><mo>⩾</mo><mi>n</mi></math></span>.</div></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-10-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021869324005520\",\"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://www.sciencedirect.com/science/article/pii/S0021869324005520","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
刚性维度是一种新的同调维度，用于衡量代数最佳解析的质量。在本文中，我们确定了具有 n 个简单模块和洛维长度 m⩾n 的自注入中山代数 An,m 的刚性维数。
Rigidity dimensions of self-injective Nakayama algebras
Rigidity dimension is a new homological dimension which is intended to measure the quality of the best resolution of an algebra. In this paper, we determine the rigidity dimensions of self-injective Nakayama algebras with n simple modules and the Loewy length .
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