English

2-Prime Hyperideals

Commutative Algebra 2021-09-21 v1

Abstract

Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring. The 2-prime hyperideals are a generalization of prime hyperideals. In this paper, we aim to study 2-prime hyperideals and give some results. Moreover, we investigate delta-2-primary hyperideals which are an expansion of 2-prime hyperideals.

Keywords

Cite

@article{arxiv.2109.08932,
  title  = {2-Prime Hyperideals},
  author = {Mahdi Anbarloei},
  journal= {arXiv preprint arXiv:2109.08932},
  year   = {2021}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2109.08414; text overlap with arXiv:2109.08385