THE BOUND QUIVER OF A SPLIT EXTENSION-Reference-Cited by-同舟云学术

THE BOUND QUIVER OF A SPLIT EXTENSION

Published:2008-08 Issue:04 Volume:07 Page:405-423
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,TREPODE SONIA³

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

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

Abstract

In this paper, we give a sufficient (which is also necessary under a compatibility hypothesis) condition on a set of arrows in the quiver of an algebra A so that A is a split extension of A/M, where M is the ideal of A generated by the classes of these arrows. We also compare the notion of split extension with that of semiconvex extension of algebras.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498808002928

Reference18 articles.

1. Cluster-tilted algebras as trivial extensions

2. Strongly simply connected schurian algebras and multiplicative bases

3. Generalized tilted algebras of type an

4. Tilting modules over split-by-nilpotent extensions

5. The fundamental groups of a triangular algebra

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