Gorenstein导出范畴的研究及Gorenstein投射模的构造
基本信息
结项摘要
自1965年，相对同调代数，特别是Gorenstein同调代数理论已发展到一个先进的水平。但导出范畴在Gorenstein同调代数中还没有对应物。本项目将建立Gorenstein导出范畴；研究它与导出范畴之间的关系；研究Gorenstein环和有限维代数的有界Gorenstein导出范畴及其应用；研究Gorenstein导出范畴的t-structure，并利用它来研究有界Gorenstein导出范畴的Krull-Schmidt性。过去四十年，代数表示论系统的发展出构造结构和表示的方法。本项目将利用代数表示论方法构造Gorenstein投射模，丰富Gorenstein投射模的例子。本项目的研究成果将使得Gorenstein同调代数在三角范畴的层次上得以深入发展和应用。
项目摘要
项目成果
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数据更新时间：2023-05-31
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高楠的其他基金
相似国自然基金
Recollements和Gorenstein导出范畴
三角范畴、模型范畴与Gorenstein投射模
导出范畴中复形的Gorenstein同调理论
Gorenstein投射模与virtually Gorenstein代数