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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2016 Volume 13, Pages 599–606 (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

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.

UDC: 512.56

MSC: 08C15, 08A05, 20N02

Received March 11, 2016, published July 21, 2016

Language: English

DOI: 10.17377/semi.2016.13.047



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