On a conjecture about dominant dimensions of algebras

JOURNAL OF ALGEBRA

卷:565

Article

Marczinzik, Rene¹ 

[1] Univ Stuttgart, Inst Algebra & Number Theory, Pfaffenwaldring 57, D-70569 Stuttgart, Germany

关键词: Dominant dimension;    Representation theory of finite dimensional algebras;    Higher Auslander algebras;   

DOI  :  10.1016/j.jalgebra.2020.08.014

来源: Elsevier

【 摘 要 】

We present examples of algebras A having dominant dimension n, for every n >= 1, such that the algebra B = End(A) (I-0 circle plus Omega(-n) (A)) has dominant dimension different from n, where I-0 is the injective hull of A. This gives a counterexample to a recent conjecture of Chen and Xi. While the conjecture is false in general, we show that a large class of algebras containing higher Auslander algebras satisfies the conjecture. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

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