On some classes of hyperstructures
type: Item
instance of: scholarly article
title: On some classes of hyperstructures
zbMATH Open document ID: 0940.16026
DOI: 10.1016/S0012-365X(99)00092-8
author: R. Procesi
author: R. Rota
published in: Discrete Mathematics
publication date: 2000-07-16T00:00:00Z
review text: The authors continue their study on the subject of the multiplicative hyperrings. Results on integral hyperrings and hyperdomains are obtained. Moreover, they continue to obtain some results on special subsets of a multiplicative hyperring. Hyperrings endowed with weak unities are proved to have some more properties especially in the class of weak hyperskewfields. Finally a non-associative hyperalgebra, related to a Steiner hyperalgebra, is introduced.
Mathematics Subject Classification ID: 16Y99
Mathematics Subject Classification ID: 20N20
Mathematics Subject Classification ID: 17A99
Mathematics Subject Classification ID: 12K99
zbMATH DE Number: 1369804
zbMATH Keywords: multiplicative hyperrings
zbMATH Keywords: integral hyperrings
zbMATH Keywords: hyperdomains
zbMATH Keywords: weak unities
zbMATH Keywords: weak hyperskewfields
zbMATH Keywords: non-associative hyperalgebras
zbMATH Keywords: Steiner hyperalgebras
reviewed by: Thomas Vougiouklis
MaRDI profile type: Publication
full work available at URL: s0012-365x(99)00092-8
OpenAlex ID: W2066157104
Wikidata QID: Q128111415
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description: scientific article; zbMATH DE number 1369804