We show that the small and large restricted injective dimensions coincide for Cohen-
Macaulay rings of finite Krull dimension. Based on this, and inspired by the recent work of …

Let $ R $ be a commutative noetherian ring. Enochs and Huang [EH] proved that over a
Gorenstein ring of Krull dimension $ d $, every Gorenstein injective module admits a …

We extend the work of Balmer, associating filtrations of essentially small tensor triangulated
categories to certain dimension functions, to the setting of actions of rigidly-compactly …

2-强Gorenstein半单环上模的结构及其应用 Page 1 山东大学学报(理学版)2018年4月第53卷第
4期 E-mail:xblxb@sdu.edu.cn Journal of Shandong University (Natural Science)ꎬ Vol.53ꎬ …

Over a noetherian ring, it is a classic result of Matlis that injective modules admit direct sum
decompositions into injective hulls of quotients by prime ideals. We show that over a Cohen …

We establish a characterization of dualizing modules among semidualizing modules. Let $
R $ be a finite dimensional commutative Noetherian ring with identity and $ C $ a …

We extend work of Balmer, associating filtrations of essentially small tensor triangulated
categories to certain dimension functions, to the setting of actions of rigidly-compactly …

In the oldest sense, arithmetic is the study of operations on integers: addition, subtraction,
multiplication, and (when defined) division. A somewhat more modern perspective is that …