Gorenstein FI-内射复形的性质
Properties of Gorenstein FI-Injective Complexes
DOI: 10.12677/PM.2022.126114, PDF, HTML, 下载: 263  浏览: 362 
作者: 原雪娟：西北师范大学，数学与统计学院，甘肃 兰州
关键词: Gorenstein FI-内射模；FI-内射复形；Gorenstein FI-内射复形；Gorenstein FI-Injective Module； FI-Injective Complex； Gorenstein FI-Injective Complex
摘要: 本文将Gorenstein FI-内射模推广到复形范畴。首先引入Gorenstein FI-内射复形的概念。其次研究Gorenstein FI-内射复形的一些性质。最后证明复形X是Gorenstein FI-内射复形，则每个Xn是Gorenstein FI-内射模，且对任意FI-内射复形I，复形Hom(I;X) 正合。
Abstract: In this paper, Gorenstein FI-injective modules are extended to the category of complex. Firstly, the concept of Gorenstein FI-injective complex is introduced. Secondly, some properties of Gorenstein FI-injective complex are studied. Finally, it is proved that a complex X is Gorenstein FI-injective complex, and then each term Xn is Gorenstein FI-injective in R-Mod and Hom(I;X) is acyclic for any FI-injective complex I.
文章引用：原雪娟. Gorenstein FI-内射复形的性质[J]. 理论数学, 2022, 12(6): 1041-1046. https://doi.org/10.12677/PM.2022.126114

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