淤积-不稳定性何时继承？

Pub Date : 2024-04-01 DOI:10.1017/nmj.2024.8

TAKUMA AIHARA, TAKAHIRO HONMA

{"title":"淤积-不稳定性何时继承？","authors":"TAKUMA AIHARA, TAKAHIRO HONMA","doi":"10.1017/nmj.2024.8","DOIUrl":null,"url":null,"abstract":"<p>We explore when the silting-discreteness is inherited. As a result, one obtains that taking idempotent truncations and homological epimorphisms of algebras transmit the silting-discreteness. We also study classification of silting-discrete simply-connected tensor algebras and silting-indiscrete self-injective Nakayama algebras. This paper contains two appendices; one states that every derived-discrete algebra is silting-discrete, and the other is about triangulated categories whose silting objects are tilting.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"WHEN IS THE SILTING-DISCRETENESS INHERITED?\",\"authors\":\"TAKUMA AIHARA, TAKAHIRO HONMA\",\"doi\":\"10.1017/nmj.2024.8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We explore when the silting-discreteness is inherited. As a result, one obtains that taking idempotent truncations and homological epimorphisms of algebras transmit the silting-discreteness. We also study classification of silting-discrete simply-connected tensor algebras and silting-indiscrete self-injective Nakayama algebras. This paper contains two appendices; one states that every derived-discrete algebra is silting-discrete, and the other is about triangulated categories whose silting objects are tilting.</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1017/nmj.2024.8\",\"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/10.1017/nmj.2024.8","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

我们探讨了淤积不稳定性何时被继承。其结果是，我们可以得到，以代数的幂等截断和同调外显传递淤积不稳定性。我们还研究了淤积离散简单连接张量代数和淤积离散自注入中山代数的分类。本文包含两个附录：一个是每个派生离散代数都是淤积离散的，另一个是关于其淤积对象是倾斜的三角范畴。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

WHEN IS THE SILTING-DISCRETENESS INHERITED?

We explore when the silting-discreteness is inherited. As a result, one obtains that taking idempotent truncations and homological epimorphisms of algebras transmit the silting-discreteness. We also study classification of silting-discrete simply-connected tensor algebras and silting-indiscrete self-injective Nakayama algebras. This paper contains two appendices; one states that every derived-discrete algebra is silting-discrete, and the other is about triangulated categories whose silting objects are tilting.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助