This book presents some of the numerous applications of hyperstructures, especially those
that were found and studied in the last fifteen years. There are applications to the following …

By considering the notion of multiplication modules over a commutative ring with identity,
first we introduce the notion product of two submodules of such modules. Then we use this …

In this paper we introduce and analyze the fuzzy hyperring notion. We consider and study
the subfuzzy-structures of a such notion and homomorphisms between fuzzy hyperrings …

In this paper we will introduce the notion of coprime hyperideals in multiplicative hyperrings
and we will show some properties of them. Then we introduce the notion of hyperring of …

We introduce the notions of fuzzy hypersemigroup, fuzzy hypergroup, fuzzy hyperideal,
homomorphism, hyper congruence, fuzzy homomorphism, fuzzy hypercongruence. The …

The purpose of this note is the study categories of hypergroups and hypermodules,
especially Hv-groups and Hv-modules. In this regards, first we introduce several categories …

On a generalized deMorgan lattice (X,≤,∨,∧,′) we introduce a family of join
hyperoperations* p, parametrized by a parameter p ε X. As a result we obtain a family of join …

We introduce and study the quotient structure and an n-ary hyperintegral domain of a
Krasner (m, n)-hyperring, proving some results regarding them. Also, we introduce some …

The purpose of this paper is the study of dimension of hypervector spaces. In this regard first
we introduce the notions of linear independent (resp. dependent) and basis of hypervector …

Let R be a commutative Krasner (m, n)-hyperring with the scalar identity 1R. In this paper,
we introduce and study the concept of n-ary 2-absorbing and 2-absorbing primary …