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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 599–606
DOI: https://doi.org/10.17377/semi.2016.13.047 (Mi semr697) 		 
Mathematical logic, algebra and number theory

Embeddings of differential groupoids into modules over commutative rings

A. V. Kravchenkoab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2016.13.047
Abstract: As is well known, subreducts of modules over commutative rings in a given variety form a quasivariety. Stanovský proved that a differential mode is a subreduct of a module over a commutative ring if and only if it is abelian. In the present article, we consider a minimal variety of differential groupoids with nonzero multiplication and show that its abelian algebras form the least subquasivariety with nonzero multiplication.
Keywords: differential groupoid, module over a commutative ring, term conditions, quasivariety.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation NSh-6848.2016.1
The research was initiated during a visit of the author to the Warsaw University of Technology which was supported by the Józef Mianowski Fund & Foundation for Polish Science. The work was partially supported by the Grants Council (under RF President) for State Aid of Leading Scientific Schools (grant NSh-6848.2016.1).
Received March 11, 2016, published July 21, 2016
Bibliographic databases:
Document Type: Article
UDC: 512.56
MSC: 08C15, 08A05, 20N02
Language: English
Citation: A. V. Kravchenko, “Embeddings of differential groupoids into modules over commutative rings”, Sib. Èlektron. Mat. Izv., 13 (2016), 599–606
Citation in format AMSBIB
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\by A.~V.~Kravchenko
\paper Embeddings of differential groupoids into modules over commutative rings
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 599--606
\mathnet{http://mi.mathnet.ru/semr697}
\crossref{https://doi.org/10.17377/semi.2016.13.047}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000407781100047}
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