排序方式: 共有4条查询结果,搜索用时 0 毫秒
1
1.
设R和S分别为左、右Noether环,RωS为一个平衡的广义倾斜双模.本文给出了1.id_R(ω)≤1的一个等价刻画.并且在1.id_R(ω)和r.id_S(ω)均有限时讨论了Rω或ωS何时是内射的.此外,作为一个推论,得到一些Gorenstein环是QF-环的等价条件. 相似文献
2.
Let R and S be a left coherent ring and a right coherent ring respectively,RωS be a faithfully balanced self-orthogonal bimodule.We give a sufficient condition to show that l.FP-idR(ω) ∞ implies G-dimω(M) ∞,where M ∈ modR.This result generalizes the result by Huang and Tang about the relationship between the FP-injective dimension and the generalized Gorenstein dimension in 2001.In addition,we get that the left orthogonal dimension is equal to the generalized Gorenstein dimension when G-dimω(M) is finite. 相似文献
3.
Let A and F be left and right Noetherian rings and ∧ωr a cotilting bimodule. A necessary and sufficient condition for a finitely generated A-module to be ω-k-torsionfree is given and the extension closure of Tω^i is discussed. As applications, we give some results of ∧ωr related to l.id(ω) ≤ k. 相似文献
4.
本文研究了Gorenstein投射维数的相关问题.利用经典同调维数的研究方法,给出了Gorenstein投射维数有限模的Gorenstein投射维数的一个刻画,并利用这一结果证明了Gorenstein完全环和Artin环的Gorenstein整体维数分别由各自的循环模和单模的Gorenstein投射维数来确定.这些结论丰富了Gorenstein同调代数理论. 相似文献
1