A Note on the Connection between Ordered Semihyperrings

The notion of ordered semihyperrings is a generalization of ordered semirings and a generalization of semihyperrings. In this paper, the Galois connection between ordered semihyperrings are studied in detail and various interesting results are obtained. A construction of an ordered semihyperring via...

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Autores principales:	Zheng Kou, Saeed Kosari, Mohammadsadegh Monemrad, Maryam Akhoundi, Saber Omidi
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	ordered semihyperring Galois connection homomorphism derivation Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/aa5c1b781d8349a3927046ccfde75390
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id	oai:doaj.org-article:aa5c1b781d8349a3927046ccfde75390
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spelling	oai:doaj.org-article:aa5c1b781d8349a3927046ccfde753902021-11-25T19:06:13ZA Note on the Connection between Ordered Semihyperrings10.3390/sym131120352073-8994https://doaj.org/article/aa5c1b781d8349a3927046ccfde753902021-10-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2035https://doaj.org/toc/2073-8994The notion of ordered semihyperrings is a generalization of ordered semirings and a generalization of semihyperrings. In this paper, the Galois connection between ordered semihyperrings are studied in detail and various interesting results are obtained. A construction of an ordered semihyperring via a regular relation is given. Furthermore, we present the Galois connection between homomorphisms and derivations on an ordered semihyperring.Zheng KouSaeed KosariMohammadsadegh MonemradMaryam AkhoundiSaber OmidiMDPI AGarticleordered semihyperringGalois connectionhomomorphismderivationMathematicsQA1-939ENSymmetry, Vol 13, Iss 2035, p 2035 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	ordered semihyperring Galois connection homomorphism derivation Mathematics QA1-939
spellingShingle	ordered semihyperring Galois connection homomorphism derivation Mathematics QA1-939 Zheng Kou Saeed Kosari Mohammadsadegh Monemrad Maryam Akhoundi Saber Omidi A Note on the Connection between Ordered Semihyperrings
description	The notion of ordered semihyperrings is a generalization of ordered semirings and a generalization of semihyperrings. In this paper, the Galois connection between ordered semihyperrings are studied in detail and various interesting results are obtained. A construction of an ordered semihyperring via a regular relation is given. Furthermore, we present the Galois connection between homomorphisms and derivations on an ordered semihyperring.
format	article
author	Zheng Kou Saeed Kosari Mohammadsadegh Monemrad Maryam Akhoundi Saber Omidi
author_facet	Zheng Kou Saeed Kosari Mohammadsadegh Monemrad Maryam Akhoundi Saber Omidi
author_sort	Zheng Kou
title	A Note on the Connection between Ordered Semihyperrings
title_short	A Note on the Connection between Ordered Semihyperrings
title_full	A Note on the Connection between Ordered Semihyperrings
title_fullStr	A Note on the Connection between Ordered Semihyperrings
title_full_unstemmed	A Note on the Connection between Ordered Semihyperrings
title_sort	note on the connection between ordered semihyperrings
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/aa5c1b781d8349a3927046ccfde75390
work_keys_str_mv	AT zhengkou anoteontheconnectionbetweenorderedsemihyperrings AT saeedkosari anoteontheconnectionbetweenorderedsemihyperrings AT mohammadsadeghmonemrad anoteontheconnectionbetweenorderedsemihyperrings AT maryamakhoundi anoteontheconnectionbetweenorderedsemihyperrings AT saberomidi anoteontheconnectionbetweenorderedsemihyperrings AT zhengkou noteontheconnectionbetweenorderedsemihyperrings AT saeedkosari noteontheconnectionbetweenorderedsemihyperrings AT mohammadsadeghmonemrad noteontheconnectionbetweenorderedsemihyperrings AT maryamakhoundi noteontheconnectionbetweenorderedsemihyperrings AT saberomidi noteontheconnectionbetweenorderedsemihyperrings
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A Note on the Connection between Ordered Semihyperrings

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