GORENSTEIN-PROJECTIVE MODULES OVER TRIANGULAR MATRIX ARTIN ALGEBRAS

Author:

XIONG BAO-LIN1,ZHANG PU1

Affiliation:

1. Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, P. R. China

Abstract

Let [Formula: see text] be an Artin algebra. Under suitable conditions, we describe all the modules in Λ, and obtain criteria for the Gorensteinness of Λ. As applications, we determine explicitly all the Gorenstein-projective Λ-modules if Λ is Gorenstein, and all the Gorenstein-projective Tn(A)-modules if A is Gorenstein.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

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