On prime strong ideals of a seminearring

Kavitha Koppula; Kedukodi Babushri Srinivas; Kuncham Syam Prasad

On prime strong ideals of a seminearring

Kavitha Koppula, Kedukodi Babushri Srinivas, Kuncham Syam Prasad

Department of Mathematics, Manipal Institute of Technology, Manipal

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

14 Citations (Scopus)

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

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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.",

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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.

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M3 - Article

AN - SCOPUS:85087822978

SN - 0025-5165

VL - 72

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EP - 256

JO - Matematicki Vesnik

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ER -

On prime strong ideals of a seminearring

Abstract

All Science Journal Classification (ASJC) codes

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