Huang, Chonghui Zheng, Lijing
Published in
Open Mathematics

In this paper, we discuss the properties of simple modules over Auslander regular rings with global dimension at most 3. Using grade theory, we show the right projective dimension of ExtΛ1(S,Λ) $\begin{array}{} \text{Ext}_{{\it\Lambda}}^{1}(S,\ {\it\Lambda}) \end{array} $ is equal to 1 for any simple Λ-module S with gr S = 1. As a result, we give s...

Wei, Jiaqun Zhang, Yujie
Published in
Georgian Mathematical Journal

In this paper, we introduce the notion of fpn-injective and fpn-flat modules, and investigate their properties. In particular, we prove that every left R-module has an fpn-injective cover (resp. preenvelope) and every right R-module has an fpn-flat cover (resp. preenvelope). We also study the exchange properties of fpn-injective and fpn-flat module...

Tang, Xi Huang, Zhaoyong
Published in
Forum Mathematicum

As a dual of the Auslander transpose of modules, we introduce and study the cotranspose of modules with respect to a semidualizing module C. Then using it we introduce n-C-cotorsionfree modules, and show that n-C-cotorsionfree modules possess many dual properties of n-torsionfree modules. In particular, we show that n-C-cotorsionfree modules are us...

Pei, Genhua Yin, Hongbo Zhang, Shunhua
Published in
Linear Algebra and Its Applications

Let A be a finite dimensional hereditary algebra over an algebraically closed field k, and let A(m) be the m-replicated algebra of A. In this paper, we investigate the structure properties of the endomorphism algebras of tilting modules of A(m), and prove that all the endomorphism algebras of tilting modules of A(m) can be realized as the iterated ...

Pei, Genhua Yin, Hongbo Zhang, Shunhua
Published in
Linear Algebra and Its Applications

Dugas, A. Huisgen-Zimmermann, B.

For any truncated path algebra Λ, we give a structural description of the modules in the categories $${\mathcal{P}^{

Dugas, A. Huisgen-Zimmermann, B.

For any truncated path algebra Λ, we give a structural description of the modules in the categories $${\mathcal{P}^{

Dugas, A. Huisgen-Zimmermann, B.

For any truncated path algebra Λ, we give a structural description of the modules in the categories $${\mathcal{P}^{

Dugas, A. Huisgen-Zimmermann, B.

For any truncated path algebra Λ, we give a structural description of the modules in the categories $${\mathcal{P}^{

Dugas, A. Huisgen-Zimmermann, B.

For any truncated path algebra Λ, we give a structural description of the modules in the categories $${\mathcal{P}^{