Some aspects of k-ideals of semirings

Amartya Goswami; Themba Dube

doi:10.1007/s12215-024-01097-1

Some aspects of k-ideals of semirings

Amartya Goswami, Themba Dube

Mathematics and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The aim of this paper is to study some distinguished classes of k-ideals of semirings, which include k-prime, k-semiprime, k-radical, k-irreducible, and k-strongly irreducible ideals. We discuss some of the properties of k-ideals and their products, intersections, and ideal quotients under semiring homomorphisms.

Original language	English
Article number	1250195
Pages (from-to)	3105-3117
Number of pages	13
Journal	Rendiconti del Circolo Matematico di Palermo
Volume	73
Issue number	8
DOIs	https://doi.org/10.1007/s12215-024-01097-1
Publication status	Published - Dec 2024

Keywords

Semiring
Weakly Noetherian semiring
k-Closure operation
k-Ideal

ASJC Scopus subject areas

General Mathematics

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10.1007/s12215-024-01097-1

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abstract = "The aim of this paper is to study some distinguished classes of k-ideals of semirings, which include k-prime, k-semiprime, k-radical, k-irreducible, and k-strongly irreducible ideals. We discuss some of the properties of k-ideals and their products, intersections, and ideal quotients under semiring homomorphisms.",

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N2 - The aim of this paper is to study some distinguished classes of k-ideals of semirings, which include k-prime, k-semiprime, k-radical, k-irreducible, and k-strongly irreducible ideals. We discuss some of the properties of k-ideals and their products, intersections, and ideal quotients under semiring homomorphisms.

AB - The aim of this paper is to study some distinguished classes of k-ideals of semirings, which include k-prime, k-semiprime, k-radical, k-irreducible, and k-strongly irreducible ideals. We discuss some of the properties of k-ideals and their products, intersections, and ideal quotients under semiring homomorphisms.

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KW - Weakly Noetherian semiring

KW - k-Closure operation

KW - k-Ideal

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ER -

Some aspects of k-ideals of semirings

Abstract

Keywords

ASJC Scopus subject areas

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