2-Prime Hyperideals of Multiplicative Hyperrings. (27th March 2022)

• Record Type: Journal Article
• Authors: Anbarloei, Mahdi
• Other Names: Liu Xiaogang Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2022(2022)
• Publication Date: 2022-03-27
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2022/5721946
• Languages: English
• ISSNs: 2314-4629

Abstract

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. A proper hyperideal I of R is called 2-prime if x ∘ y ⊆ I for some x, y ∈ R, then, x 2 ⊆ I or y 2 ⊆ I . 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 δ -2-primary hyperideals which are an expansion of 2-prime hyperideals.