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: 483-509
ISSN:0092-7872
年代: 1993
DOI:10.1080/00927879308824574
出版商: Marcel Dekker, Inc.
关键词: Primary: 16A48;Secondary: 13C05
数据来源: Taylor
摘要:
In this paper, we analyze the Auslander-Reiten quiver for the category fo lattices over a commutative, non-local, Bass ring. Our applications include explicitly describing the quiver, proving path connectedness and Eulerian features of the quiver, associating the quiver to a Cayley diagram, proving a finite type result with the quiver and generalizing the concept of unique factorization domainto the notion of unique map factorization domain.
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