Over the last few years, the study of complexes has become increasingly important. To date,
however, most of the research is scattered throughout the literature or available only as …

Enochs and Jenda gave some characterizations of Gorenstein injective and projective
complexes over n-Gorenstein rings. The aim of this article is to generalize these results and …

Flat Covers of Complexes Page 1 Ž . JOURNAL OF ALGEBRA 210, 86102 1998 ARTICLE
NO. JA987582 Flat Covers of Complexes Edgar E. Enochs Department of Mathematics …

We prove that for a Frobenius extension, if a module over the extension ring is Gorenstein
projective, then its underlying module over the base ring is Gorenstein projective; the …

A complex C is called Gorenstein injective if there exists an exact sequence of
complexes⋯→ I− 1→ I0→ I1→⋯ such that each Ii is injective, C= Ker (I0→ I1) and the …

1. Preliminaries. In this note we introduce a new tensor product functor in the category of
complexes. We show that this tensor product is left adjoint to the Hom functor properly …

The so-called Ding–Chen ring is an n-FC ring which is both left and right coherent, and has
both left and right self FP-injecitve dimensions at most n for some non-negative integer n. In …

We study criteria for a ring—or more generally, for a small category—to be Gorenstein and
for a module over it to be of finite projective dimension. The goal is to unify the universal …

The paper is devoted to study some of the questions arises naturally in connection to the
notion of relative derived categories. In particular, we study invariants of recollements …

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 …