Clean semiring

被引：1
|
作者：
Kar, S. [1 ]
Das, D. [1 ]
机构：
[1] Jadavpur Univ, Dept Math, 188 Raja SC Mallick Rd, Kolkata 700032, India
来源：
BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY | 2023年 / 64卷 / 01期
关键词：
Clean semiring; Strongly clean semiring; Exchange semiring; Antisimple semiring; RINGS;
D O I：
10.1007/s13366-022-00628-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the concept of clean semiring as a generalization of clean ring. A semiring is said to be clean if its every nonzero element can be written as the sum of an idempotent and a unit. We study the notion of clean semiring and obtain some important characterizations of clean semiring. We also study the notion of exchange semiring and find out the connenction between clean semiring and exchange semiring.
引用
收藏
页码：197 / 207
页数：11
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