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(Weakly) $(\alpha,\beta)$-prime hyperideals in commutative multiplicative hypeering

Let $H$ be a commutative multiplicative hyperring and $\alpha, \beta \in \mathbb{Z}^+$. A proper hyperideal $P$ of $H$ is called (weakly) $(\alpha,\beta)$-prime if $x^\alpha \circ y \subseteq P$ for $x,y \in H$ implies $x^\beta \subseteq P$ or $y \in P$.
Anbarloei, Mahdi
core  

(u,v)-absorbing (prime) hyperideals in commutative multiplicative hyperrings

In this paper, we will introduce the notion of (u,v)-absorbing hyperideals in multiplicative hyperrings and we will show some properties of them. Then we extend this concept to the notion of (u,v)-absorbing prime hyperideals and thhen we will give some ...
Anbarloei, Mahdi
core  

Ideals of some Green biset functors

In this article, we describe the lattice of ideals of some Green biset functors. We consider Green biset functors which satisfy that each evaluation is a finite dimensional split semisimple commutative algebra and use the idempotents in these evaluations
Calderón, J. Miguel
core