Skew polynomial superrings

Atamewoue Tsafack, S; Wen, S; Onasanya, BO; Feng, Y

Skew polynomial superrings

Atamewoue Tsafack, S Wen, S

Onasanya, BO Feng, Y

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Publisher:: Springer Science and Business Media LLC
Publication Type:: Journal Article
Citation:: Soft Computing, 2022, 26, (21), pp. 11277-11286
Issue Date:: 2022-11-01

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Field	Value	Language
dc.contributor.author	Atamewoue Tsafack, S
dc.contributor.author	Wen, S https://orcid.org/0000-0001-8077-7001
dc.contributor.author	Onasanya, BO
dc.contributor.author	Feng, Y
dc.date.accessioned	2023-03-13T12:58:23Z
dc.date.available	2023-03-13T12:58:23Z
dc.date.issued	2022-11-01
dc.identifier.citation	Soft Computing, 2022, 26, (21), pp. 11277-11286
dc.identifier.issn	1432-7643
dc.identifier.issn	1433-7479
dc.identifier.uri	http://hdl.handle.net/10453/167173
dc.description.abstract	The purpose of this paper is to define the skew polynomial superrings arising from Krasner (hyperfields) hyperrings and study their ideals and some of their properties. In this work, we showed that the skew polynomial superrings are principal superideal superdomains which are not necessarily commutative. We also proved the division theorem for these skew polynomial superrings and provided an algorithm for the decomposition of a polynomial to a product of some irreducible polynomials.
dc.language	en
dc.publisher	Springer Science and Business Media LLC
dc.relation.ispartof	Soft Computing
dc.relation.isbasedon	10.1007/s00500-022-07372-6
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0102 Applied Mathematics, 0801 Artificial Intelligence and Image Processing, 1702 Cognitive Sciences
dc.subject.classification	Artificial Intelligence & Image Processing
dc.title	Skew polynomial superrings
dc.type	Journal Article
utslib.citation.volume	26
utslib.for	0102 Applied Mathematics
utslib.for	0801 Artificial Intelligence and Image Processing
utslib.for	1702 Cognitive Sciences
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - AAII - Australian Artificial Intelligence Institute
utslib.copyright.status	closed_access	*
dc.date.updated	2023-03-13T12:58:22Z
pubs.issue	21
pubs.publication-status	Published
pubs.volume	26
utslib.citation.issue	21

Abstract:

The purpose of this paper is to define the skew polynomial superrings arising from Krasner (hyperfields) hyperrings and study their ideals and some of their properties. In this work, we showed that the skew polynomial superrings are principal superideal superdomains which are not necessarily commutative. We also proved the division theorem for these skew polynomial superrings and provided an algorithm for the decomposition of a polynomial to a product of some irreducible polynomials.

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http://hdl.handle.net/10453/167173