FROM TRISECTIONS IN MODULE CATEGORIES TO QUASI-DIRECTED COMPONENTS-Reference-Cited by-同舟云学术

FROM TRISECTIONS IN MODULE CATEGORIES TO QUASI-DIRECTED COMPONENTS

Published:2011-06 Issue:03 Volume:10 Page:409-433
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

ALVARES E. R.¹,ASSEM I.²,COELHO F. U.³,I. PEÑA M.⁴,TREPODE S.⁴

Affiliation:

1. Centro Politécnico, Departamento de Matemática, Universidade Federal do Paraná, CP 019081, Jardim das Américas, Curitiba-PR 81531-990, Brazil

2. Département de mathématiques, Université de Sherbrooke, Sherbrooke, QC, Canada J1K 2R1, Canada

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

4. Depto de Matemática, FCEyN, Universidad Nacional de Mar del Plata, 7600, Mar del Plata, Argentina

Abstract

In this paper, we define and study a special type of trisections in a module category, namely the compact trisections which characterize quasi-directed components. We apply this notion to the study of laura algebras and we use it to define a class of algebras with predictable Auslander–Reiten components.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498811004653

Reference25 articles.

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

2. Some characterisations of supported algebras

3. Two-sided gluings of tilted algebras

4. Algebras determined by their left and right parts

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