Relative essential ideals in N-groups

T. Sahoo, B. Davvaz, H. Panackal, B. S. Kedukodi, S. P. Kuncham

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Let G be an N-group where N is a (right) nearring. We introduce the concept of relative essential ideal (or N-subgroup) as a generalization of the concept of an essential submodule of a module over a ring or a nearring. We provide suitable examples to distinguish between the notions relative essential and essential ideals. We prove the important properties and obtain equivalent conditions for the relative essential ideals (or N-subgroups) involving the quotient. Further, we derive results on direct sums, complement ideals of N-groups, and obtain their properties under homomorphism.

Original languageEnglish
Pages (from-to)69-82
Number of pages14
JournalTamkang Journal of Mathematics
Issue number1
Publication statusPublished - 2023

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics


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