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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On subcategories closed under predecessors and the representation dimension

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Author(s):
Assem, Ibrahim [1] ; Coelho, Flavio U. [2] ; Wagner, Heily [2]
Total Authors: 3
Affiliation:
[1] Univ Sherbrooke, Fac Sci, Dept Math, Sherbrooke, PQ J1K 2R1 - Canada
[2] Univ Sao Paulo, Dept Matemat IME, BR-05508090 Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Journal of Algebra; v. 418, p. 174-196, NOV 15 2014.
Web of Science Citations: 5
Abstract

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. (AU)

FAPESP's process: 12/50485-8 - Pullback and dimensional algebras representation
Grantee:Heily Wagner
Support Opportunities: Scholarships in Brazil - Post-Doctoral