Abelian differential modes are quasi-affine

David Stanovský

Commentationes Mathematicae Universitatis Carolinae (2012)

  • Volume: 53, Issue: 3, page 461-473
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Stanovský, David. "Abelian differential modes are quasi-affine." Commentationes Mathematicae Universitatis Carolinae 53.3 (2012): 461-473. <http://eudml.org/doc/246383>.

@article{Stanovský2012,
abstract = {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.},
author = {Stanovský, David},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {differential modes; abelian algebras; quasi-affine algebras; subreducts of modules; differential modes; abelian algebra; quasi-affine algebra; subreducts of modules},
language = {eng},
number = {3},
pages = {461-473},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Abelian differential modes are quasi-affine},
url = {http://eudml.org/doc/246383},
volume = {53},
year = {2012},
}

TY - JOUR
AU - Stanovský, David
TI - Abelian differential modes are quasi-affine
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2012
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 53
IS - 3
SP - 461
EP - 473
AB - 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.
LA - eng
KW - differential modes; abelian algebras; quasi-affine algebras; subreducts of modules; differential modes; abelian algebra; quasi-affine algebra; subreducts of modules
UR - http://eudml.org/doc/246383
ER -

References

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  13. Stanovský D., 10.4171/RSMUP/121-3, Rend. Semin. Mat. Univ. Padova 121 (2009), 33–43. Zbl1190.16054MR2542133DOI10.4171/RSMUP/121-3
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