COMPLEXITY OF TRIVIAL EXTENSIONS OF ITERATED TILTED ALGEBRAS

被引：2

作者：

Purin, Marju ^{[1
]}

机构：

[1] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2012年 / 11卷 / 04期

关键词：

Complexity; trivial extension; tilted algebra; self-injective algebra; stable equivalence; HEREDITARY ARTINIAN-RINGS; SELF-INJECTIVE ALGEBRAS; SELFINJECTIVE ALGEBRAS; FINITE; DUALITIES;

D O I：

10.1142/S0219498812500673

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the complexity of a family of finite-dimensional self-injective k-algebras where k is an algebraically closed field. More precisely, let T be the trivial extension of an iterated tilted algebra of type H. We prove that modules over the trivial extension T all have complexities either 0, 1, 2 or infinity, depending on the representation type of the hereditary algebra H.

引用

页数：15