2021/09/18 by Mahdi Anbarloei, Anbarloei, Mahdi
Mathematics · #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC
paper · pdf · doi:10.48550/arxiv.2109.08932
arXiv admin note: substantial text overlap with arXiv:2109.08414; text overlap with arXiv:2109.08385
arxiv created 2021/09/18 · arxiv updated 2021/09/21
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.