Functional representations of semirings.
type: Item
instance of: scholarly article
title: Functional representations of semirings.
zbMATH Open document ID: 1290.16049
published in: Journal of Mathematical Sciences (New York)
publication date: 2013-04-24T00:00:00Z
review text: In the paper, the author develops the theory of sheaf representations of semirings. The considered classes of semirings are those of symmetric semirings, reduced semirings, Gelfand semirings, regular semirings, Rickart semirings. After presenting the general theory of functional representations of semirings, the author gives the structural representations of semirings and semimodules, more precisely the representations of semimodules by sections of sheaves, representations of Rickart semirings, representations of Abelian-regular positive semirings and applies them to Gelfand semirings and Mulvey duality.
Mathematics Subject Classification ID: 16Y60
Mathematics Subject Classification ID: 16S60
Mathematics Subject Classification ID: 54B40
Mathematics Subject Classification ID: 18F20
zbMATH DE Number: 6157006
zbMATH Keywords: Rickart semirings
zbMATH Keywords: reduced regular semirings
zbMATH Keywords: symmetric semirings
zbMATH Keywords: Gelfand semirings
zbMATH Keywords: sheaves
zbMATH Keywords: sheaf representations of semirings
zbMATH Keywords: representations of semimodules
author: Vasiliy Vladimirovich Chermnykh
reviewed by: Mirela Ştefănescu
MaRDI profile type: Publication
full work available at URL: s10958-012-1062-2
OpenAlex ID: W2034149395
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Functional representations of semirings. (DOI)
DOI: 10.1007/S10958-012-1062-2