In this paper, we show that the Gorenstein global dimension of trivial ring extensions is often
infinite. Also we study the transfer of Gorenstein properties between a ring and its trivial ring …

We present the concept of cotorsion pairs cut along subcategories of an abelian category.
This provides a generalization of complete cotorsion pairs, and represents a general …

Ring epimorphisms often induce silting modules and cosilting modules, termed minimal
silting or minimal cosilting. The aim of this paper is twofold. Firstly, we determine the minimal …

Let SCR be a semidualizing bimodule with S left coherent and R right coherent. For a non-
negative integer n, it is shown that l. FP-id S (C)= r. FP-id R (C)≤ n if and only if every finitely …

Let T be a tilting module. In this paper, Gorenstein σ [T]-injective modules are introduced and
some of their basic properties are studied. Moreover, some characterizations of rings over …

Let $ A $ be a virtually Gorenstein algebra of finite CM-type. We establish a duality between
the subcategory of compact objects in the homotopy category of Gorenstein projective left …

Over a commutative noetherian ring, we introduce a generalization of Gorenstein projective
and injective modules, which we call, respectively, n-Gorenstein projective and injective …

In this article, we study the hereditary torsion theory defined by the set of associated primes
of principle ideals of an integral domain, which is called the g-torsion theory. We first discuss …

A semi-dualizing module over a commutative noetherian ring A is a finitely generated
module C with RHomA (C, C)≃ A in the derived category D (A). We show how each such …

Let R be a commutative Noetherian ring. The aim of this paper is studying the properties of
relative Gorenstein modules with respect to a dualizing module. It is shown that every …