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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 4, Pages 18–24 (Mi ivm8885)  
This article is cited in 2 scientific papers (total in 2 papers)

Pierce sheaf for semirings with involution

R. V. Markov

Chair of Algebra and Discrete Mathematics, Vyatka State University of Humanities, 26 Krasnoarmeiskaya str., Kirov, 610002 Russia
Full-text PDF (164 kB) Citations (2)
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Abstract: We introduce the concept of Pierce sheaf for semirings with involution, an analog of Pierce sheaf for rings. We construct maximal spectrum, Pierce congruence, Pierce sheaf of semirings with involution, Pierce stalk of semiring with involution. We prove main theorem on the isomorphism of semiring with involution and semiring with involution of global sections of Pierce sheaf.
Keywords: semiring, semiring with involution, Pierce sheaf, Pierce stalk, functional representation of a semiring.
Received: 02.11.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 4, Pages 14–19
DOI: https://doi.org/10.3103/S1066369X14040033
Bibliographic databases:
Document Type: Article
UDC: 512.556
Language: Russian
Citation: R. V. Markov, “Pierce sheaf for semirings with involution”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 4, 18–24; Russian Math. (Iz. VUZ), 58:4 (2014), 14–19
Citation in format AMSBIB
\Bibitem{Mar14}
\by R.~V.~Markov
\paper Pierce sheaf for semirings with involution
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 4
\pages 18--24
\mathnet{http://mi.mathnet.ru/ivm8885}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 4
\pages 14--19
\crossref{https://doi.org/10.3103/S1066369X14040033}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84898970222}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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