Let S and R be rings, SCR be a semidualizing bimodule and n≥ 0 be an integer or n=∞.
We introduce and study C-FP n-injective and C-FP n-flat modules as a common …

Let R and S be rings and SCR a semidualizing bimodule. We investigate the relative Tor
functors Tor i ℳ ℒ C (−,−) Tor_i^ML_C(-,-) defined via C-level resolutions, and these functors …

Let S and R be rings and SCR a semidualizing bimodule. We define and study GC-FP-
injective R-modules, and these modules are exactly C-Gorenstein injective R-modules …

令C 作为R-模为半对偶模, 其中R 为交换环. 在(几乎) 优越扩张的条件下研究了与半对偶模C
相关模类的传递性, 讨论了C-投射, 内射及平坦预盖及预包的相关性质. 作为应用 …

相对于理想的环的刻画 Page 1 第52卷第8期 Vol.52 No.8 山东大学学报(理学版)
JournalofShandongUniversity(NaturalScience) 2017年8月 Aug.2017 收稿日期:2016-09-18;网络 …

Given an R-module C and a class of R-modules 𝒟 over a commutative ring R, we investigate
the relationship between the existence of 𝒟-envelopes (respectively, 𝒟-covers) and the …

Let C be a semidualizing R-module, where R is a commutative ring. We first introduce the
definition of C-cotorsion modules, and obtain the properties of C-cotorsion modules. As …

Let R be a ring. It is reasonable to use a strict 𝒲𝒳-resolution of a right R-module M of finite 𝒳-
projective dimension, where 𝒳 denotes a subcategory of right R-modules closed under …

We derive in the paper the tensor product functor-${\otimes} _R $-by using proper $\mathcal
{GP} _C $-resolutions, where C is a semidualizing module. After giving several cases in …