A note on zero rings

被引:0
|
作者
Pranjali [1 ]
机构
[1] Univ Delhi, Dept Math, Delhi 110007, India
关键词
Commutative ring; zero ring;
D O I
10.1142/S1793557115500539
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Given a positive integer n, how many zero rings exist of order n? Inspired from this question, in this paper, author is mainly concerned to determine the structure of zero rings of a given order; in particular, we tempted to try out the structure of each zero ring of order <= 50. In the course of the investigation, basic properties of zero rings are obtained and the results relevant to the counting of subrings, and ideals for a given zero ring have established.
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页数:10
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