Ternary semihypergroups in terms of generalized quasi(bi)-hyperideals

Kostaq Hila; Krisanthi Naka; Manish Kant Dubey; Anuradha

doi:10.1556/012.2017.54.3.1365

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 54: Issue 3

Ternary semihypergroups in terms of generalized quasi(bi)-hyperideals

Authors:

Kostaq Hila

Kostaq Hila Department of Mathematics & Computer Science, Faculty of Natural Sciences University of Gjirokastra, Albania

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kostaq_hila@yahoo.com

Krisanthi Naka

Krisanthi Naka Department of Mathematics & Computer Science, Faculty of Natural Sciences University of Gjirokastra, Albania

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anthinaka@yahoo.com

Manish Kant Dubey

Manish Kant Dubey SAG, DRDO, Metcalf House, Delhi 110054, India

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kantmanish@yahoo.com

, and

Anuradha

Anuradha Department of Mathematics, University of Delhi, Delhi 110007, India

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anuvikaspuri@yahoo.co.in

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Pages:: 277–297

Online Publication Date:: Sep 2017

Publication Date:: 01 Sep 2017

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/012.2017.54.3.1365

Keywords:: Ternary semihypergroup; (m, (p, q), n)-quasi(bi)-hyperideal

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This paper deals with a class of algebraic hyperstructures called ternary semihypergroups. In this paper, we introduce the notion of generalized quasi (bi)-hyperideals in ternary semihypergroups and study their structure. Some related properties of them are investigated. Several characterizations of ternary semihypergroups in terms of minimal generalized quasi(bi)-hyperideals are provided. Also, the n-left simple, m-right simple, (p, q)-lateral simple and (m, (p, q), n)-quasi-simple ternary semihypergroups are defined and investigated.

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Studia Scientiarum Mathematicarum Hungarica

Print ISSN:: 0081-6906

Online ISSN:: 1588-2896

Editors in Chief

Gábor SIMONYI (Rényi Institute of Mathematics)
András STIPSICZ (Rényi Institute of Mathematics)
Géza TÓTH (Rényi Institute of Mathematics)

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Gábor SÁGI (Rényi Institute of Mathematics)

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Imre BÁRÁNY (Rényi Institute of Mathematics)
Károly BÖRÖCZKY (Rényi Institute of Mathematics and Central European University)
Péter CSIKVÁRI (ELTE, Budapest)
Joshua GREENE (Boston College)
Penny HAXELL (University of Waterloo)
Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
Ron HOLZMAN (Technion, Haifa)
Satoru IWATA (University of Tokyo)
Tibor JORDÁN (ELTE, Budapest)
Roy MESHULAM (Technion, Haifa)
Frédéric MEUNIER (École des Ponts ParisTech)
Márton NASZÓDI (ELTE, Budapest)
Eran NEVO (Hebrew University of Jerusalem)
János PACH (Rényi Institute of Mathematics)
Péter Pál PACH (BME, Budapest)
Andrew SUK (University of California, San Diego)
Zoltán SZABÓ (Princeton University)
Martin TANCER (Charles University, Prague)
Gábor TARDOS (Rényi Institute of Mathematics)
Paul WOLLAN (University of Rome "La Sapienza")

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Studia Scientiarum Mathematicarum Hungarica
Language	English French German
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ISSN	1588-2896 (Online)