On almost nilpotent varieties of subexponential growth

Angela Valenti; Sergey Mishchenko

On almost nilpotent varieties of subexponential growth

Risultato della ricerca: Article

Abstract

Let N2 be the variety of left-nilpotent algebras of index two, that is the variety of algebras satisfying the identity x(yz). ≡ 0. We introduce two new varieties, denoted by Vsym and Valt, contained in the variety N2 and we prove that Vsym and Valt are the only two varieties almost nilpotent of subexponential growth.

Lingua originale	English
pagine (da-a)	902-915
Numero di pagine	14
Rivista	Journal of Algebra
Volume	423
Stato di pubblicazione	Published - 2015

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All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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Valenti, A., & Mishchenko, S. (2015). On almost nilpotent varieties of subexponential growth. Journal of Algebra, 423, 902-915.

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KW - Codimension

KW - Polynomial identity

KW - Primary

KW - Secondary

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KW - Codimension

KW - Polynomial identity

KW - Primary

KW - Secondary

KW - Variety

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JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

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On almost nilpotent varieties of subexponential growth

Abstract

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All Science Journal Classification (ASJC) codes

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