Abelian differential modes are quasi-affine
Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 3, pp. 461-473
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We study a class of strongly solvable modes, called differential modes. We characterize abelian algebras in this class and prove that all of them are quasi-affine, i.e., they are subreducts of modules over commutative rings.
We study a class of strongly solvable modes, called differential modes. We characterize abelian algebras in this class and prove that all of them are quasi-affine, i.e., they are subreducts of modules over commutative rings.
Classification :
08A05, 15A78
Keywords: differential modes; abelian algebras; quasi-affine algebras; subreducts of modules
Keywords: differential modes; abelian algebras; quasi-affine algebras; subreducts of modules
Stanovský, David. Abelian differential modes are quasi-affine. Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 3, pp. 461-473. http://geodesic.mathdoc.fr/item/CMUC_2012_53_3_a10/
@article{CMUC_2012_53_3_a10,
author = {Stanovsk\'y, David},
title = {Abelian differential modes are quasi-affine},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {461--473},
year = {2012},
volume = {53},
number = {3},
mrnumber = {3017843},
zbl = {1265.08002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2012_53_3_a10/}
}