Let R be an arbitrary ring and C a complex with finite Gorenstein projective dimension (that
is, the supremum of Gorenstein projective dimension of all R-modules in C is finite). For …

证明了在任意结合环R 上, 复形C 是Gorenstein 投射复形当且仅当每个层次的模C~ m
是Gorenstein 投射模, 由此给出了复形Gorenstein 投射维数的性质刻画. 并证明了对于正合复形 …

In this paper, we give a relationship between projective generators (resp., injective
cogenerators) in the category of R-modules and the counterparts in the category of …

引入了投射余分解Gorenstein 平坦复形的概念. 证明了对任意结合环R, G 是投射余分解
Gorenstein 平坦复形当且仅当每个层次的R-模G m 是投射余分解Gorenstein 平坦模, 其中∀ …

Let R be a commutative (possibly non-Noetherian) ring (in order to make things less
technical) and C a semidualizing R-module. In this article, we introduce and investigate the …

Let ℱ be a class of R-modules.#-ℱ complexes are introduced and investigated in this article.
We say that a complex C is a#-ℱ complex if all terms C i are in ℱ for i∈ ℤ, and we denote …

Given an integer N≧2 and a self-orthogonal subcategory W of an abelian category A, we
investigate the W-Gorenstein N-complexes. We show that an N-complex G is W-Gorenstein …

We give sufficient conditions on a class of R‐modules article amssymb empty C in order for
the class of complexes of article amssymb empty C‐modules, article amssymb empty dwC …

Gorenstein homological algebra is an important area of mathematics, with applications in
commutative and noncommutative algebra, model category theory, representation theory …

We prove that if the ring R is left noetherian andif the class of Gorenstein injective modules,
GI, is closed under ltrations, then GI is precovering. We extend this result to the category of …