Fortified Join hypergroups

Massouros, G. G.; Massouros, Ch. G.; Mittas, I.D.

doi:10.5802/ambp.73

Cited by 16 publications

(16 citation statements)

References 4 publications

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“…For the sake of notational simplicity, / a b or : a b is used to denote the right division (as well as the division in commutative hypergroups) and \ b a or .. a b is used to denote the left division. The use of these induced hypercompositions led to the definition of transposition and join hypergroups and H V -groups [9,19,20,21].…”

Section: Ab C a Bc For Every mentioning

confidence: 99%

On 2-element fuzzy and mimic fuzzy hypergroups

Massouros¹,

Massouros²

2012

AIP Conference Proceedings

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Section: Ab C a Bc For Every mentioning

confidence: 99%

On 2-element fuzzy and mimic fuzzy hypergroups

Massouros¹,

Massouros²

2012

AIP Conference Proceedings

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“…x T e such that 1 e xx and 1 e x x . As it is shown in [5,12] the elements of fortified transposition hypergroups are separated into two classes: the set…”

Section: ^1mentioning

confidence: 99%

Isomorphism theorems in fortified transposition hypergroups

Massouros¹

2013

AIP Conference Proceedings

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The isomorphism theorems of both groups as well as hypergroups are a significant tool for the study of these structures. C. G. Massouros proved the isomorphism theorems for quasicanonical hypergroups (or polygroups) and afterwards J. Jantosciak generalised them for transposition hypergroups using quotients modulo closed subhypergroups. But, there also exist transposition hypergroups which do not have proper closed subhypergroups. Such are the fortified transposition hypergroups of attractive elements. The isomorphism theorems of these hypergroups are studied here.

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“…x´ is called the symmetric (or inverse) of x. If H is also commutative, then it is a fortified join hypergroup [9,10]. This last hypergroup resulted from the theory of Formal Languages [6,7,8].…”

Section: Transposition Hypergroups -Canonical Hypergroupsmentioning

confidence: 99%