Abstract
Let R be a multiplicative hyperring. In this paper, we study 2-absorbing hyperideals which are a generalization of prime hyperideals and introduce the concept of 2-absorbing primary hyperideal which is a generalization of primary hyperideal.
Highlights
The theory of algebraic hyperstructures is a well-established branch of classical algebraic theory
The notion of multiplicative hyperring is introduced by Rota (1982)
The purpose of this paper is to introduce and to study the concepts of 2-absorbing and 2-absorbing primary hyperideals over a multiplicative hyperring
Summary
The theory of algebraic hyperstructures (or hypersystems) is a well-established branch of classical algebraic theory. This theory was introduced in Marty (1934) at the 8th Congress of Scandinavian Mathematicians. Many researchers have observed that the theory of hyperstructures have many applications in both pure and applied sciences which a comprehensive review of this theory can be found in Corsini (1993), Davvaz and Leoreanu-Fotea (2007), Omidi and Davvaz (2016), Corsini (2003), and Vougiouklis (1994). The notion of multiplicative hyperring is introduced by Rota (1982).
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