## Strongly tilting truncated path algebras

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

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

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

Published in Acta Mathematica Sinica, English Series

We generalize the concept — dimension tree and the related results for monomial algebras to a more general case — relations algebras Λ by bringing Gröbner basis into play. More precisely, we will describe the minimal projective resolution of a left Λ-module M as a rooted ‘weighted’ diagraph to be called the minimal resolution graph for M. Algorithm...

Published in Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

In this paper, we study a case when an amalgamated duplication of a ring R along a proper ideal \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${I,R\bowtie I}$$\end{doc...

Published in Acta Mathematica Sinica, English Series

We show that over a right coherent left perfect ring R, a complex C of left R-modules is Gorenstein projective if and only if Cm is Gorenstein projective in R-Mod for all m ∈ ℤ. Basing on this we show that if R is a right coherent left perfect ring then Gpd(C) = sup{Gpd(Cm)|m ∈ ℤ} where Gpd(−) denotes Gorenstein projective dimension.

Published in Applied Mathematics-A Journal of Chinese Universities

In CAGD, the Said-Ball representation for a polynomial curve has two advantages over the Bézier representation, since the degrees of Said-Ball basis are distributed in a step type. One advantage is that the recursive algorithm of Said-Ball curve for evaluating a polynomial curve runs twice as fast as the de Casteljau algorithm of Bézier curve. Anot...

Published in Science China Mathematics

Let G be a finite group and A be a finite-dimensional selfinjective algebra over an algebraically closed field. Suppose A is a left G-module algebra. Some sufficient conditions for the skew group algebra AG to be stably Calabi-Yau are provided, and some new examples of stably Calabi-Yau algebras are given as well.

Published in Mathematische Zeitschrift

A triangulated category \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${(\mathcal{T},\Sigma)}$$\end{document} is said to be Calabi–Yau of dimension d if Σd is a Serre ...