On Ideals in Semirings

被引：0

作者：

Deore, R. P. ^{[1
]}

Patil, K. B. ^{[2
]}

机构：

[1] North Maharashtra Univ, Dept Math, Jalgaon 425001, MS, India

[2] Jaihind Coll, Dept Math, Dhule, MS, India

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2008年 / 32卷 / 03期

关键词：

Semirings; Radical of an ideal; k-ideal and Lattice ordered semirings;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the converse part of Chinese remainder theorem and some of its consequences. We give, if I is a k -ideal of a semiring R, then root I is also a k- ideal of a semiring R. Finally, we proved that if spec(R) is connected, then the only idempotents of R are 0 and 1.

引用

页码：417 / 424

页数：8

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