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

Serdica Mathematical Journal (2000)

- Volume: 26, Issue: 2, page 167-176
- ISSN: 1310-6600

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topPetrogradsky, 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 -

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