Characterizing Non-Matrix Properties of Varieties of Algebras in the Language of Forbidden Objects

Finogenova, Olga

Serdica Mathematical Journal (2012)

  • Volume: 38, Issue: 1-3, page 473-496
  • ISSN: 1310-6600

Abstract

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2010 Mathematics Subject Classification: 16R10, 16R40.We discuss characterizations of some non-matrix properties of varieties of associative algebras in the language of forbidden objects. Properties under consideration include the Engel property, Lie nilpotency, permutativity. We formulate a few open problems.* The author acknowledges support from the Russian Foundation for Basic Research, grant 10-01-00524.

How to cite

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Finogenova, Olga. "Characterizing Non-Matrix Properties of Varieties of Algebras in the Language of Forbidden Objects." Serdica Mathematical Journal 38.1-3 (2012): 473-496. <http://eudml.org/doc/288254>.

@article{Finogenova2012,
abstract = {2010 Mathematics Subject Classification: 16R10, 16R40.We discuss characterizations of some non-matrix properties of varieties of associative algebras in the language of forbidden objects. Properties under consideration include the Engel property, Lie nilpotency, permutativity. We formulate a few open problems.* The author acknowledges support from the Russian Foundation for Basic Research, grant 10-01-00524.},
author = {Finogenova, Olga},
journal = {Serdica Mathematical Journal},
keywords = {Algebras with Polynomial Identity; Non-Matrix Varieties; Engel Property; Lie Nilpotency; Semigroup Identities; Forbidden Algebras; Varieties of Associative Algebras},
language = {eng},
number = {1-3},
pages = {473-496},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Characterizing Non-Matrix Properties of Varieties of Algebras in the Language of Forbidden Objects},
url = {http://eudml.org/doc/288254},
volume = {38},
year = {2012},
}

TY - JOUR
AU - Finogenova, Olga
TI - Characterizing Non-Matrix Properties of Varieties of Algebras in the Language of Forbidden Objects
JO - Serdica Mathematical Journal
PY - 2012
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 38
IS - 1-3
SP - 473
EP - 496
AB - 2010 Mathematics Subject Classification: 16R10, 16R40.We discuss characterizations of some non-matrix properties of varieties of associative algebras in the language of forbidden objects. Properties under consideration include the Engel property, Lie nilpotency, permutativity. We formulate a few open problems.* The author acknowledges support from the Russian Foundation for Basic Research, grant 10-01-00524.
LA - eng
KW - Algebras with Polynomial Identity; Non-Matrix Varieties; Engel Property; Lie Nilpotency; Semigroup Identities; Forbidden Algebras; Varieties of Associative Algebras
UR - http://eudml.org/doc/288254
ER -

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