On subcategories closed under predecessors and the representation dimension

JOURNAL OF ALGEBRA

卷:418

Article

Assem, Ibrahim¹  Coelho, Flavio U.²  Wagner, Heily² 

[1] Univ Sherbrooke, Fac Sci, Dept Math, Sherbrooke, PQ J1K 2R1, Canada

[2] Univ Sao Paulo, Dept Matemat IME, BR-05508090 Sao Paulo, Brazil

关键词: Artin algebras;    Representation dimension;    Ada algebras;   

DOI  :  10.1016/j.jalgebra.2014.07.002

来源: Elsevier

【 摘 要 】

Let A be an artin algebra, A and C be full subcategories of the category of finitely generated A-modules consisting of indecomposable modules and closed under predecessors and successors respectively. In this paper we relate, under various hypotheses, the representation dimension of A to those of the left support algebra of A and the right support algebra of C. Our results are then applied to the classes of laura algebras, ada algebras and Nakayama oriented pullbacks. (c) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free