On Complementable Semihypergroups

Aghabozorgi, H.; Cristea, Irina; Jafarpour, M.

doi:10.1080/00927872.2015.1027395

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

On Strongly Associative Complementable (Semi)hypergroups1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2017

2018

Publication Types

Select...

Article5

Other1

Relationship

Self Cite1

Independent5

Authors

Journals

Cited by 9 publications

(2 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Hyperstructure theory was first initiated by Marty [15] in 1934 when he defined hypergroups and started to analyze their properties. Since there are extensive applications in many branches of mathematics and applied sciences, the theory of algebraic hyperstructures (or hypersystems) has nowadays become a well-established branch in algebraic theory and has been developed in various fields, for more details see [1,6,7,11,14,19,18] and books e.g. [6,23].…”

Section: Introductionmentioning

confidence: 99%

Distributive and Dual Distributive Elements in Hyperlattices

Ameri

Amiri-Bideshki

Hošková-Mayerová

et al. 2017

Analele Universitatii "Ovidius" Constanta - Seria Matematica

View full text Add to dashboard Cite

In this paper we introduce and study distributive elements, dual distributive elements in hyperlattices, and prove that these elements forms ∧-semi lattice and ∨-semi hyperlattice, respectively. We use the properties of prime ideals and prime filters in hyperlattices. We will proceed to introduce the notion of dual distributive hyperlattices, I-filters and filters generated by dual distributive elements. Finally, the relationship between good homomorphisms and istributive (resp. dual distributive)elements in hyperlattices are investigated.

show abstract

Section: Introductionmentioning

confidence: 99%

Distributive and Dual Distributive Elements in Hyperlattices

Ameri

Amiri-Bideshki

Hošková-Mayerová

et al. 2017

Analele Universitatii "Ovidius" Constanta - Seria Matematica

View full text Add to dashboard Cite

show abstract

“…According to [1], the complement of (H, •) is the hypergroupoid (H, • c ) endowed with the complement hyperoperation: Proof. Let (G, ·) be a group.…”

Section: On Strongly Associative Complementable (Semi)hypergroupsmentioning

confidence: 99%