CYCLES AND SYMMETRIES OF ZERO-DIVISORS
CYCLES AND SYMMETRIES OF ZERO-DIVISORS
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DOI：
10.1081/agb-120004502
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发表时间：
2002-08
影响因子：
0.7
通讯作者：
S. Mulay
中科院分区：
文献类型：
--
作者：
S. Mulay
交换环的零因子对应于一个自然图，本文对该图的圈结构进行了本质的分类，建立了图自同构群的群论性质，并确定了到的标准同态的核。
ABSTRACT There is a natural graph associated to the zero-divisors of a commutative ring In this article we essentially classify the cycle-structure of this graph and establish some group-theoretic properties of the group of graph-automorphisms We also determine the kernel of the canonical homomorphism from to