Right ADA algebras-Reference-Cited by-同舟云学术

Right ADA algebras

Published:2017-10-04 Issue:11 Volume:16 Page:1750210
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Alvares Edson Ribeiro¹,Assem Ibrahim²,Castonguay Diane³,Vargas Rosana R. S.⁴

Affiliation:

1. Centro Politécnico, Departamento de Matemática, Universidade Federal do Paraná, CP019081, Jardim das Américas, CEP 81531-990, Curitiba, Brazil

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

3. Instituto de Informática, Universidade Federal de Goiás, Campus II - Samambaia, CEP 74001-970, Goiânia, Brazil

4. Escola de Artes, Ciências e Humanidades (EACH), Universidade de São Paulo, CEP 03828-000, São Paulo, Brazil

Abstract

We introduce and study the class of right ADA algebras. An artin algebra is right ADA if every indecomposable projective module lies in the left or in the right part of its module category. We study the Auslander–Reiten components of a right ADA algebra which is not quasi-tilted and prove that they are of three types: components of the left and of the right support, and transitional components each containing a right section.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498817502103

Reference19 articles.

1. Left sections and the left part of an artin algebra

2. Algebras determined by their supports

3. Two-sided gluings of tilted algebras

4. ENDOMORPHISM ALGEBRAS OF PROJECTIVE MODULES OVER LAURA ALGEBRAS

5. The left and the right parts of a module category

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