English

Morphic elements in regular near-rings

Rings and Algebras 2022-05-30 v1

Abstract

We define morphic near-ring elements and study their behavior in regular near-rings. We show that the class of left morphic regular near-rings is properly contained between the classes of left strongly regular and unit regular near-rings.

Keywords

Cite

@article{arxiv.2205.13819,
  title  = {Morphic elements in regular near-rings},
  author = {Alex Samuel Bamunoba and Ivan Philly Kimuli and David Ssevviiri},
  journal= {arXiv preprint arXiv:2205.13819},
  year   = {2022}
}

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15 pages