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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 3, Pages 213–221 (Mi timm1214)  
This article is cited in 4 scientific papers (total in 4 papers)

Semirings close to regular and their Pierce stalks

R. V. Markov, V. V. Chermnykh

Vyatka State University of Humanities, Kirov
Full-text PDF (165 kB) Citations (4)
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Abstract: We investigate Pierce stalks of semirings and the properties of semirings that grow from properties of the stalks. Objects of study are semirings with nontrivial algebra of idempotents, namely, biregular and Rickart semirings with additional conditions. We obtain characterizations of such semirings in terms of the properties of their Pierce stalks and Pierce sheaves.
Keywords: rickart semiring, biregular semiring, pierce stalk, pierce sheaf of semiring.
Received: 30.10.2014
Bibliographic databases:
Document Type: Article
UDC: 512.556
Language: Russian
Citation: R. V. Markov, V. V. Chermnykh, “Semirings close to regular and their Pierce stalks”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 3, 2015, 213–221
Citation in format AMSBIB
\Bibitem{MarChe15}
\by R.~V.~Markov, V.~V.~Chermnykh
\paper Semirings close to regular and their Pierce stalks
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 3
\pages 213--221
\mathnet{http://mi.mathnet.ru/timm1214}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3468105}
\elib{https://elibrary.ru/item.asp?id=24156723}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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