Triads

JOURNAL OF ALGEBRA

卷:280

Article

Rump, W

关键词: triadic category;    L-functor;    almost split sequence;    exact category;    triangulated category;   

DOI  :  10.1016/j.jalgebra.2004.07.007

来源: Elsevier

【 摘 要 】

Triads are four-termed complexes with end terms connected by a translation functor, similar to triangles in a triangular category. We use triads to give an adequate theory of L-functors, introduced in [W. Rump, The category of lattices over a lattice-finite ring, Algebras and Representation Theory, in press] to investigate the global structure of categories with almost split sequences. Roughly speaking, L-functors extend the Auslander-Reiten translate to morphisms and thereby make it functorial. (C) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

Free