On completely 2-absorbing ideals of N-groups

Taptee Sahoo, M. Deepak Shetty, N. J. Groenewald, P. K. Harikrishnan, S. P. Kuncham

Research output: Contribution to journalArticlepeer-review

Abstract

We introduce the notion of completely 2-absorbing (denoted by, c-2-absorbing) ideal of an N-group G, as a generalization of completely prime ideal of module over a right near-ring N. We obtain that, for an ideal I of a monogenic N-group G, if (I: G) is a c-2-absorbing ideal of N, then I is a c-2-absorbing ideal of G. The converse also holds only when G is locally monogenic over a distributive near-ring N. We discuss the properties such as homomorphic images, inverse images of c-2-absorbing ideals of G. Examples of c-2-absorbing ideals of N-groups are given where N is non-commutative and in the sequel some results of 2-absorbing ideals from module over rings are generalized to N-groups.

Original languageEnglish
Pages (from-to)541-556
Number of pages16
JournalJournal of Discrete Mathematical Sciences and Cryptography
Volume24
Issue number2
DOIs
Publication statusPublished - 2021

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

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