Let R [P] be the one point extension of ak-algebra R by a projective R-module P. We prove
that the extension of a complete ideal cotorsion pair in R-Mod is still a complete ideal …

Abstract Let (A, B)(A, B) be a cotorsion pair in R-Mod. We introduce and study the notion of
Cartan–Eilenberg-A A complexes. Specifically, we establish some relationships between …

Let (R, m) be a commutative Noetherian local domain, M a non-zero finitely generated R-
module of dimension n 0 and I be an ideal of R. In this paper it is shown that if x1,..., xt (1≤ …

Acta Mathematica Sinica, English Series Page 1 Acta Mathematica Sinica, English Series
Sep., 2009, Vol. 25, No. 9, pp. 1567–1582 Published online: August 15, 2009 DOI: 10.1007/s10114-009-6385-7 …

In this paper we consider the question when a homomorphism between two extension
algebras preserves the essential ideal in the corresponding extension. Some conditions of …

Let k be a commutative ring, A a k-algebra, C an A-coring that is projective as a left A-
module,* C the dual ring of C and {lambda} a right C-comodule that is finitely generated as a …

Motivated by some properties satisfied by Gorenstein projective and Gorenstein injective
modules over an Iwanaga-Gorenstein ring, we present the concept of left and right n …

Let R be a commutative ring, 𝒞 be a semidualizing R-module. We show that the Auslander
class 𝒜𝒞 (R) with respect to 𝒞 is the first left orthogonal class of some pure injective module …

Cotorsion Pairs of Complexes Page 1 Cotorsion Pairs of Complexes Xiaoyan Yang Dedicated
to the 70-year-old birthday of Professor KP Shum Abstract: Let C be a complex of right …

Let $\varepsilon $: 0--> A--> f B--> g C--> 0 be a short exact sequence of modules and
module homomorphism. $\varepsilon $ is called gd-closed sequence if Imf is gd-closed in B …