Representation theory of artin algebras iii almost split sequences
Representation theory of artin algebras iii almost split sequences
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DOI：
10.1080/00927877508822046
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发表时间：
1975
影响因子：
0.7
通讯作者：
M. Auslander;I. Reiten
中科院分区：
文献类型：
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作者：
M. Auslander;I. Reiten
0-> A-> B-> C-> 0 is called an almost split sequence if a) it is not splitable, b) A and C are indecomposable A-modules and c) if f: X-> C is not a splitable epimorphism, then there is an h: X-> B such that f= ph. We show that if C is an indecmposable module which is not projective, then there is an almost split sequence 0-> A-> B-> C-> 0 and any two such sequences are isomorphic. If A is an indecmposable A-module which is not injective, then there is an almost split sequence
