The Total Graphs of Finite Commutative Semirings

被引：1
|
作者：
Dolzan, David [1 ]
Oblak, Polona [2 ]
机构：
[1] Univ Ljubljana, Fac Math & Phys, Dept Math, Jadranska 21, Ljubljana 1000, Slovenia
[2] Univ Ljubljana, Fac Comp & Informat Sci, Vecna Pot 113, Ljubljana 1000, Slovenia
来源：
RESULTS IN MATHEMATICS | 2017年 / 72卷 / 1-2期
关键词：
Finite commutative semiring; zero-divisor; total graph; RINGS; MATRICES; GENUS;
D O I：
10.1007/s00025-016-0595-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Anderson and Badawi (J Algebra 320(7):2706-2719, 2008) characterized all commutative rings having total graphs without any 3-cycles. In this paper we expand those results to the semiring setting and obtain the characterization of finite commutative semirings having total graphs without any 3-cycles.
引用
收藏
页码：193 / 204
页数：12
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