Centrosymmetric matrices of order n over an arbitrary algebra R form a subalgebra of the full
n× n matrix algebra over R. It is called the centrosymmetric matrix algebra of order n over R …

Given an n× n matrix c over a unitary ring R, the centralizer of c in the full n× n matrix ring M
n (R) is called a principal centralizer matrix ring, denoted by S n (c, R). We investigate its …

We prove that if the Frobenius functor F (from the category of left R-modules to the category
of left S-modules) is faithful, then for any R-module X, the Gorenstein flat dimension of X is …

In this article, we prove that Gorenstein projectivity and injectivity with respect to a
semidualizing module are preserved under Frobenius extensions. Furthermore, we obtain …

设G 是群, R 是交换环. 定义群G 在系数环R 上的Gorenstein 同调维数Ghd RG 为平凡RG-模R
的Gorenstein 平坦维数. 证明了对交换环的Erobenius 扩张R→ S, 有Ghd s G= Ghd R G. 此外 …

Owing to the difference in K-theory, an example by Dugger and Shipley implies that the
equivalence of stable categories of Gorenstein projective modules should not be a Quillen …

本文主要研究Y-Gorenstein 内射模和Frobenius 双模之间的关系. 设环R 和S
都是有单位元的结合环, SMR 是Frobenius 双模且MR 是生成子. 证明了(1) R op-模X 是Y …

Abstract Let R⊂ S be a Frobenius extension of rings and M an S-complex. It is proven that if
the Gorenstein projective (injective) dimension of M as an S-complex is finite, then the …

We establish relations between Gorenstein projective precovers linked by Frobenius
functors. This is motivated by an open problem that how to find general classes of rings for …

Let A/S be a ring extension with S commutative. We prove that ω⊗ S AA is a generalized
tilting module if ωS is a generalized tilting module. In this case, we obtain that⊥ ω-resol …