Pre-semihyperadditive Categories-Reference-Cited by-同舟云学术

Pre-semihyperadditive Categories

Published:2019-03-01 Issue:1 Volume:27 Page:269-288
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Shojaei H.¹,Ameri R.¹,Hoskova-Mayerova S.²

Affiliation:

1. School of Mathematics, Statistics and Computer Science, Collage of Sciences , University of Tehran , P.O. Box 14155-6455, Tehran , Iran .

2. Department of Mathematics and Physics , University of Defence , 662 10 Brno , Czech Republic .

Abstract

Abstract In this paper we extend the notion of classical (pre-)semiadditive category to (pre-)semihyperadditive category. Algebraic hyperstructures are algebraic systems whose objects possessing the hyperoperations or multi-valued operation. We introduce categories in which for objects A and B, the class of all morphisms from A to B denoted by Mor(A, B), admits an algebraic hyperstructures, such as semihypergroup or hypergroup. In this regards we introduce the various types of pre-semihyperadditive categories. Also, we construct some (pre-)semihyperadditive categories by introducing a class of hypermodules named general Krasner hypermodules. Finally, we investigate some properties of these categories.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2019-0014

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