tau-U-FACTORIZATIONS AND THEIR GRAPHS IN COMMUTATIVE RINGS WITH ZERO-DIVISORS

被引：0
|
作者：
Axtell, M. [1 ]
Mooney, C. [2 ]
机构：
[1] Univ St Thomas, Dept Math, St Paul, MN 55105 USA
[2] Westminster Coll, Dept Math, Fulton, MO 65251 USA
来源：
INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA | 2015年 / 18卷
关键词：
Commutative ring; irreducible; U-factorization; tau-factorization; graph;
D O I：
10.24330/ieja.266205
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a commutative ring with identity, and let tau be a relation on the nonzero, non-unit elements of R. In this paper we generalize the definitions of a factorization and a U-factorization via a relation tau and construct a variety of graphs based on these generalizations. These graphs are then examined in an effort to determine ring-theoretic properties.
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页码：72 / 91
页数：20
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