A left R-module M is called two-degree Gorenstein flat if there exists an exact sequence of
Gorenstein flat left R-modules⋅⋅⋅→ G2→ G1→ G0→ G− 1→ G− 2→⋅⋅⋅ such that M≅ Ker …

In this note we prove that any ring R is right cosemihereditary if and only if every finitely
cogenerated injective right R-module is d-Rickart. Let M be a module. We prove that if M is a …

形式三角矩阵环上的F-Gorenstein平坦模 Page 1 第61卷第5期 吉林大学学报(理学版) Vol.61
No.5 2023年9月 JournalofJilinUniversity(ScienceEdition) Sep 2023 doi:10.13413/j.cnki.jdxblxb.2022470 …

We introduce the notion of strongly G-regular rings, and we observe that most rings that
were known to be G-regular are in fact strongly G-regular. This property allows us to …

Let $\mathcal {V} $, $\mathcal {W} $, $\mathcal {Y} $, $\mathcal {X} $ be four classes of left $
R $-modules. The notion of $(\mathcal {V, W, Y, X}) $-Gorenstein $ R $-complexes is …

A ring R is called (left principally) quasi-Baer if the left annihilator of every (principal) left
ideal of R is generated by an idempotent. Let R be a ring, G be an ordered monoid acting on …

In this paper, we investigate various kinds of extensions of twin-good rings. Moreover, we
prove that every element of an abelian neat ring R is twin-good if and only if R has no factor …

This paper is to study how to construct Frobenius pairs over a Morita ring Λ= AANBBMAB.
Given Frobenius pairs (X, W) and (Y, V) in AM od and BM od, respectively, we construct …

Let U be a (B, A)-bimodule, A and B be rings, and be a formal triangular matrix ring. In this
paper, we characterize the structure of relative Ding projective modules over T under some …