This paper is written in the framework of the Special Issue of Mathematics entitled
“Hypercompositional Algebra and Applications”, and focuses on the presentation of the …

A Krasner hyperring (for short, a hyperring) is a generalization of a ring such that the
addition is multivalued and the multiplication is as usual single valued and satisfies the …

The hyperfield came into being due to a mathematical necessity that appeared during the
study of the valuation theory of the fields by M. Krasner, who also defined the hyperring …

Algebraic hyperstructures represent an interesting field of algebra, important both from the
theoretical point of view and also for their applications. A hypergroupoid structure can be …

The concept of multialgebraic structure--an" algebraic like" structure but endowed with
multiple valued operations--has been studied since the 1930's; in particular, the concept of …

Recently, fuzzy multisets have come to the forefront of scientists' interest and have been
used for algebraic structures such as groups, rings, and near rings. In this paper, we first …

During his sort life, F. Marty, through three articles of his, introduced the notion of
hypergroup. W. Prenowitz utilized this structure in the study of Geometry. This paper …

The hypergroup (as defined by F. Marty), being a very general algebraic structure, was
subsequently quickly enriched with additional axioms. One of these is the transposition …

Some properties of certain Subhypergroups Page 1 RATIO MATHEMATICA 25 (2013), 67–76
ISSN:1592-7415 Some properties of certain Subhypergroups Christos G. Massouros 54 …

In this paper, we introduce generalized quadratic forms and hyperconics over quotient
hyperfields as a generalization of the notion of conics on fields. Conic curves utilized in …