On prime strong ideals of a seminearring

Kavitha Koppula; Kedukodi Babushri Srinivas; Kuncham Syam Prasad

On prime strong ideals of a seminearring

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Abstract

The concept prime ideals and corresponding radicals play an important role in the study of nearrings. In this paper, we define different prime strong ideals of a seminearring S and study corresponding prime radicals. In particular, we prove that P_e = {S|P_e(S) = S} is a Kurosh-Amitsur radical class where P_e(S) denotes the intersection of equiprime strong ideals of S.

Original language	English
Pages (from-to)	243-256
Number of pages	14
Journal	Matematicki Vesnik
Volume	72
Issue number	3
Publication status	Published - 2020

All Science Journal Classification (ASJC) codes

General Mathematics

Cite this

@article{10a2c12fb0824ea4910c251d85e50193,

title = "On prime strong ideals of a seminearring",

abstract = "The concept prime ideals and corresponding radicals play an important role in the study of nearrings. In this paper, we define different prime strong ideals of a seminearring S and study corresponding prime radicals. In particular, we prove that Pe = \{S|Pe(S) = S\} is a Kurosh-Amitsur radical class where Pe(S) denotes the intersection of equiprime strong ideals of S.",

author = "Kavitha Koppula and \{Babushri Srinivas\}, Kedukodi and Prasad, \{Kuncham Syam\}",

year = "2020",

language = "English",

volume = "72",

pages = "243--256",

journal = "Matematicki Vesnik",

issn = "0025-5165",

publisher = "Drustvo Matematicara Srbije",

number = "3",

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T1 - On prime strong ideals of a seminearring

AU - Koppula, Kavitha

AU - Babushri Srinivas, Kedukodi

AU - Prasad, Kuncham Syam

PY - 2020

Y1 - 2020

N2 - The concept prime ideals and corresponding radicals play an important role in the study of nearrings. In this paper, we define different prime strong ideals of a seminearring S and study corresponding prime radicals. In particular, we prove that Pe = {S|Pe(S) = S} is a Kurosh-Amitsur radical class where Pe(S) denotes the intersection of equiprime strong ideals of S.

AB - The concept prime ideals and corresponding radicals play an important role in the study of nearrings. In this paper, we define different prime strong ideals of a seminearring S and study corresponding prime radicals. In particular, we prove that Pe = {S|Pe(S) = S} is a Kurosh-Amitsur radical class where Pe(S) denotes the intersection of equiprime strong ideals of S.

UR - https://www.scopus.com/pages/publications/85087822978

UR - https://www.scopus.com/pages/publications/85087822978#tab=citedBy

M3 - Article

AN - SCOPUS:85087822978

SN - 0025-5165

VL - 72

SP - 243

EP - 256

JO - Matematicki Vesnik

JF - Matematicki Vesnik

IS - 3

ER -

On prime strong ideals of a seminearring

Abstract

All Science Journal Classification (ASJC) codes

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