On almost nilpotent varieties of subexponential growth

Angela Valenti; Sergey Mishchenko

On almost nilpotent varieties of subexponential growth

Risultato della ricerca: Article › peer review

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

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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title = "On almost nilpotent varieties of subexponential growth",

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.",

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T1 - On almost nilpotent varieties of subexponential growth

AU - Valenti, Angela

AU - Mishchenko, Sergey

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Algebra and Number Theory

KW - Almost nilpotent

KW - Codimension

KW - Polynomial identity

KW - Primary

KW - Secondary

KW - Variety

KW - Algebra and Number Theory

KW - Almost nilpotent

KW - Codimension

KW - Polynomial identity

KW - Primary

KW - Secondary

KW - Variety

UR - http://hdl.handle.net/10447/162511

M3 - Article

VL - 423

SP - 902

EP - 915

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -