Hypermatrix Based on Krasner Hypervector Spaces

In this paper we extend a very specific class of hypervector spaces called Krasner hypervector spaces in order to obtain a hypermatrix. For reaching to this goal, we will define dependent and independent vectors in this kind of hypervector space and define basis and dimension for it. Also, by using...

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Main Authors:	Maedeh Motameni, R. Ameri, Razieh Sadeghi
Format:	Article
Language:	English
Published:	Accademia Piceno Aprutina dei Velati 2013-12-01
Series:	Ratio Mathematica
Subjects:	Hypermatrix, Hypervector spaces, Basis of a hyper- vector space, Multivalued linear transformations.
Online Access:	http://eiris.it/ojs/index.php/ratiomathematica/article/view/53

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spelling	doaj-c2149b8d8b0849efa4b8717546a865ff2020-11-25T00:20:40ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142013-12-01251779458Hypermatrix Based on Krasner Hypervector SpacesMaedeh Motameni0R. Ameri1Razieh Sadeghi2Islamic Azad University,Qaemshahr, Iran,School of Mathematics, Statistics and Computer Sciences, University of Tehran, Tehran, Iran,Faculty of Mathematics, University of Mazandaran, Babolsar, IranIn this paper we extend a very specific class of hypervector spaces called Krasner hypervector spaces in order to obtain a hypermatrix. For reaching to this goal, we will define dependent and independent vectors in this kind of hypervector space and define basis and dimension for it. Also, by using multivalued linear transformations, we examine the possibility of existing a free object here. Finally, we study the fundamental relation on Krasner hypervector spaces and we define a functor.http://eiris.it/ojs/index.php/ratiomathematica/article/view/53Hypermatrix, Hypervector spaces, Basis of a hyper- vector space, Multivalued linear transformations.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Maedeh Motameni R. Ameri Razieh Sadeghi
spellingShingle	Maedeh Motameni R. Ameri Razieh Sadeghi Hypermatrix Based on Krasner Hypervector Spaces Ratio Mathematica Hypermatrix, Hypervector spaces, Basis of a hyper- vector space, Multivalued linear transformations.
author_facet	Maedeh Motameni R. Ameri Razieh Sadeghi
author_sort	Maedeh Motameni
title	Hypermatrix Based on Krasner Hypervector Spaces
title_short	Hypermatrix Based on Krasner Hypervector Spaces
title_full	Hypermatrix Based on Krasner Hypervector Spaces
title_fullStr	Hypermatrix Based on Krasner Hypervector Spaces
title_full_unstemmed	Hypermatrix Based on Krasner Hypervector Spaces
title_sort	hypermatrix based on krasner hypervector spaces
publisher	Accademia Piceno Aprutina dei Velati
series	Ratio Mathematica
issn	1592-7415 2282-8214
publishDate	2013-12-01
description	In this paper we extend a very specific class of hypervector spaces called Krasner hypervector spaces in order to obtain a hypermatrix. For reaching to this goal, we will define dependent and independent vectors in this kind of hypervector space and define basis and dimension for it. Also, by using multivalued linear transformations, we examine the possibility of existing a free object here. Finally, we study the fundamental relation on Krasner hypervector spaces and we define a functor.
topic	Hypermatrix, Hypervector spaces, Basis of a hyper- vector space, Multivalued linear transformations.
url	http://eiris.it/ojs/index.php/ratiomathematica/article/view/53
work_keys_str_mv	AT maedehmotameni hypermatrixbasedonkrasnerhypervectorspaces AT rameri hypermatrixbasedonkrasnerhypervectorspaces AT raziehsadeghi hypermatrixbasedonkrasnerhypervectorspaces
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Hypermatrix Based on Krasner Hypervector Spaces

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