Geodesic
Embeddings of differential groupoids into modules over commutative rings
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 599-606

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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, quasivariety.
Mots-clés : term conditions 
@article{SEMR_2016_13_a16,
     author = {A. V. Kravchenko},
     title = {Embeddings of differential groupoids into modules over commutative rings},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {599--606},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a16/}
}
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A. V. Kravchenko. Embeddings of differential groupoids into modules over commutative rings. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 599-606. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a16/