On α-prime and weakly α-prime ideals in semirings

被引：0
|
作者：
Bonde, Dipak Ravindra [1 ]
Chaudhari, Jayprakash Ninu [2 ]
机构：
[1] ACS Coll, Dept Math, Dharangaon 425105, India
[2] MJ Coll, Dept Math, Jalgaon 425002, Maharashtra, India
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2021年 / 14卷 / 08期
关键词：
Semiring; steady semiring homomorphism; subtractive ideal; partitioning ideal; alpha-prime ideal; weakly alpha-prime ideal; quotient semiring;
D O I：
10.1142/S179355712150128X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Characterizations of alpha-prime ideals, weakly alpha-prime ideals in a semiring R are investigated. If I is a Q-ideal of a semiring R, then a relation between the set of alpha-prime ideals (weakly alpha-prime ideals) in R and the set of alpha-prime ideals (weakly alpha-prime ideals) in the quotient semiring R/I-(Q) is obtained.
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页数：9
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