On Homogeneous Exact Categories

✍ Scribed by Raymundo Bautista; William Crawley-Boevey; Tiangang Lei; Yingbo Zhang

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 95 KB
• Volume: 230
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.2000.8333

✦ Synopsis

In the present paper we prove that a certain subcategory C C of the module category over some infinite-dimensional algebra R has almost split sequences and strongly homogeneous property; i.e., for each indecomposable module M in C C, there is an almost split sequence starting and also ending at M. It is also proved that except for a trivial case, C C is of wild representation type. ᮊ 2000 Academic Press Let C C be a k-additive category and k be a field. C C is called a Krull᎐Schmidt category, provided the endomorphism ring of each indecomposable object is local. Then the decomposition of any object into w x indecomposables is unique up to isomorphism R, p. 52 . The category C C is