Generalization of prime ideals in MΓ-groups

Satyanarayana Bhavanari, Venugopala Rao Paruchuri, Tapatee Sahoo, Syam Prasad Kuncham

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1 Citation (Scopus)

Abstract

In this paper, we consider a module over a Γ-nearring (also known as, MΓ-group) G. We introduce the notions (i, 2)-absorbing, i ∈ {c, 3} ideals of G, as a generalization of i-prime ideal of G. We prove several properties and exhibit examples that indicate these classes are different from the existing classes of prime ideals. Further, we prove the properties such as homomorphic images, inverse images of (c, 2)-absorbing ideals of G, and the properties involving Notherian quotients of (i, 2)-absorbing ideals of G, i ∈ {c, 3}.

Original languageEnglish
Pages (from-to)443-454
Number of pages12
JournalPalestine Journal of Mathematics
Volume11
Issue number3
Publication statusPublished - 2022

All Science Journal Classification (ASJC) codes

  • General Mathematics

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