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

9 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

Mathematics(all)

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

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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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AN - SCOPUS:85087822978

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On prime strong ideals of a seminearring

Abstract

All Science Journal Classification (ASJC) codes

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