Geodesic
Exponents of Subvarieties of Upper Triangular Matrices over Arbitrary Fields are Integral
Serdica Mathematical Journal, Tome 26 (2000) no. 2, pp. 167-176

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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.
Keywords: Associative Algebras With Polynomial Identities, Growth of Codimensions 
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     author = {Petrogradsky, V.},
     title = {Exponents of {Subvarieties} of {Upper} {Triangular} {Matrices} over {Arbitrary} {Fields} are {Integral}},
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Petrogradsky, V. Exponents of Subvarieties of Upper Triangular Matrices over Arbitrary Fields are Integral. Serdica Mathematical Journal, Tome 26 (2000) no. 2, pp. 167-176. http://geodesic.mathdoc.fr/item/SMJ2_2000_26_2_a6/