Exponents of Subvarieties of Upper Triangular Matrices over Arbitrary Fields are Integral

Petrogradsky, V.. "Exponents of Subvarieties of Upper Triangular Matrices over Arbitrary Fields are Integral." Serdica Mathematical Journal 26.2 (2000): 167-176. <http://eudml.org/doc/11487>.

@article{Petrogradsky2000,
abstract = {Partially supported by grant RFFI 98-01-01020.Let Uc be the variety of associative algebras generated by the algebra of all upper triangular matrices, the field being arbitrary. We prove that the upper exponent of any subvariety V ⊂ Uc coincides with the lower exponent and is an integer.},
author = {Petrogradsky, V.},
journal = {Serdica Mathematical Journal},
keywords = {Associative Algebras With Polynomial Identities; Growth of Codimensions; algebras with polynomial identities; codimensions of T-ideals; varieties of algebras; multilinear polynomial identities; codimension sequences; upper triangular matrices},
language = {eng},
number = {2},
pages = {167-176},
publisher = {Institute of Mathematics and Informatics},
title = {Exponents of Subvarieties of Upper Triangular Matrices over Arbitrary Fields are Integral},
url = {http://eudml.org/doc/11487},
volume = {26},
year = {2000},
}

TY - JOUR
AU - Petrogradsky, V.
TI - Exponents of Subvarieties of Upper Triangular Matrices over Arbitrary Fields are Integral
JO - Serdica Mathematical Journal
PY - 2000
PB - Institute of Mathematics and Informatics
VL - 26
IS - 2
SP - 167
EP - 176
AB - Partially supported by grant RFFI 98-01-01020.Let Uc be the variety of associative algebras generated by the algebra of all upper triangular matrices, the field being arbitrary. We prove that the upper exponent of any subvariety V ⊂ Uc coincides with the lower exponent and is an integer.
LA - eng
KW - Associative Algebras With Polynomial Identities; Growth of Codimensions; algebras with polynomial identities; codimensions of T-ideals; varieties of algebras; multilinear polynomial identities; codimension sequences; upper triangular matrices
UR - http://eudml.org/doc/11487
ER -