Affiliation:
1. Department of Mathematics, Syracuse University, Syracuse, NY 13244, USA
Abstract
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.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. A non-vanishing result on the singularity category;Proceedings of the American Mathematical Society;2024-07-31
2. τ-complexity of cluster tilted algebras;Journal of Pure and Applied Algebra;2012-04