PRIME PERFECT IDEALS IN SEMINEARRINGS

Kedukodi Babushri Srinivas; Kavitha Koppula; Kuncham Syam Prasad

PRIME PERFECT IDEALS IN SEMINEARRINGS

Kedukodi Babushri Srinivas, Kavitha Koppula^*, Kuncham Syam Prasad

^*Corresponding author for this work

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

Abstract

In this paper, we define different prime perfect ideals of a right seminearring M and corresponding prime radicals. Then prove the relationship between prime ideals and are illustrated with the suitable examples. Further, we prove that, if P_e(M) is the intersection of equiprime perfect ideals of M, then P_e = {M | P_e(M) = M} is a Kurosh-Amitsur radical class. In addition, we prove results on c-prime perfect ideals and corresponding radicals.

Original language	English
Pages (from-to)	87-97
Number of pages	11
Journal	Global and Stochastic Analysis
Volume	11
Issue number	3
Publication status	Published - 06-2024

All Science Journal Classification (ASJC) codes

Statistics and Probability
Discrete Mathematics and Combinatorics

Cite this

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abstract = "In this paper, we define different prime perfect ideals of a right seminearring M and corresponding prime radicals. Then prove the relationship between prime ideals and are illustrated with the suitable examples. Further, we prove that, if Pe(M) is the intersection of equiprime perfect ideals of M, then Pe = {M | Pe(M) = M} is a Kurosh-Amitsur radical class. In addition, we prove results on c-prime perfect ideals and corresponding radicals.",

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

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N2 - In this paper, we define different prime perfect ideals of a right seminearring M and corresponding prime radicals. Then prove the relationship between prime ideals and are illustrated with the suitable examples. Further, we prove that, if Pe(M) is the intersection of equiprime perfect ideals of M, then Pe = {M | Pe(M) = M} is a Kurosh-Amitsur radical class. In addition, we prove results on c-prime perfect ideals and corresponding radicals.

AB - In this paper, we define different prime perfect ideals of a right seminearring M and corresponding prime radicals. Then prove the relationship between prime ideals and are illustrated with the suitable examples. Further, we prove that, if Pe(M) is the intersection of equiprime perfect ideals of M, then Pe = {M | Pe(M) = M} is a Kurosh-Amitsur radical class. In addition, we prove results on c-prime perfect ideals and corresponding radicals.

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PRIME PERFECT IDEALS IN SEMINEARRINGS

Abstract

All Science Journal Classification (ASJC) codes

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