ENDOMORPHISM ALGEBRAS OF PROJECTIVE MODULES OVER LAURA ALGEBRAS-Reference-Cited by-同舟云学术

ENDOMORPHISM ALGEBRAS OF PROJECTIVE MODULES OVER LAURA ALGEBRAS

Published:2004-03 Issue:01 Volume:03 Page:49-60
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

ASSEM IBRAHIM¹,COELHO FLÁVIO U.²

Affiliation:

1. Département de Mathématiques, Université de Sherbrooke, Sherbrooke, Québec, Canada, J1K 2R1, Canada

2. Departamento de Matemática-IME, Universidade de São Paulo, CP 66281, São Paulo, SP, 05315-970, Brazil

Abstract

Let A be a connected artin algebra, and e be an idempotent in A such that B=eAe is connected. We show here that if A is laura, left (or right) glued or weakly shod, so is B, respectively. Our proof yields also similar (and known) results for shod and quasi-tilted algebras.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498804000691

Reference21 articles.

1. Two-sided gluings of tilted algebras

2. Almost split sequences in subcategories

3. Representation Theory of Artin Algebras

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