Irreducible maps of commutative rings
作者:
Jeremy Haefner,
期刊:
Communications in Algebra
(Taylor Available online 1993)
卷期:
Volume 21,
issue 2
页码: 445-481
ISSN:0092-7872
年代: 1993
DOI:10.1080/00927879308824573
出版商: Marcel Dekker, Inc.
关键词: Primary: 16A48;Secondary: 13C05
数据来源: Taylor
摘要:
We give necessary conditions for a map to be irreducible (in the category of finitely generated, torsion free modules) over a non-local, commutative ring and sufficient conditions when the ring is Bass. In particular, we show that an irreducible map of ZG, where G is a square free abelian group, must be a monomorphism with a simple cokernel. We also show that local endomorphism rings are necessary and sufficient for the existence of almost split sequences over a commutative Bass ring and we explicitly describe the modules and the maps in those sequences. The results in this paper enable us to describe the Auslander-Reiten quiver of a non-local Bass ring in [8].
点击下载:
PDF (1579KB)
返 回