A multiset is a set containing repeated elements. The objective of this paper is to combine
the innovative concept of multisets and polygroups. In particular, we use multisets and fuzzy …

The concept of fuzzy multiset is well established in dealing with many real life problems. It is
possible to find various applications of algebraic hypercompositional structures in natural …

The α*-relation is a fundamental relation on hyperrings, being the smallest strongly regular
relation on hyperrings such that the quotient structure R/α* is a commutative ring. In this …

The γ∗-relation is the smallest fuzzy strongly regular relation on a fuzzy hyperring such that
its quotient space is a ring. In this paper, a subclass of fuzzy hyperrings is considered, where …

On a particular class of m-idempotent hyperrings, the relation ξ m* is the smallest strongly
regular equivalence such that the related quotient ring is commutative. Thus, on such …

In this paper, we define topological hyperrings and study their basic concepts which
supported by illustrative examples. We show some differences between topological rings …

In this article, we study Lie hyperalgebras and compare them with Lie algebras. We
introduce the L-relation on a Lie hyperalgebra such that the quotient structure by its …

In this paper we survey selected categorical properties of module-like objects with
multivalued addition. The general theme of the results included here is that they are aimed …

Recently we have investigated Lie algebras and abelian Lie algebras derived from Lie
hyperalgebras using the fundamental relations L and A, respectively. In the present paper …

A hyper bi-module is a commutative hypergroup that is both a left and a right hypermodule,
such that the left and the right multiplications are compatible. We define the fundamental …