Zariski Closed Algebras in Varieties of Universal Algebra

Alexei Belov-Kanel; Antonio Giambruno; Louis Halle Rowen; Uzi Vishne

doi:10.1007/s10468-014-9469-8

Zariski Closed Algebras in Varieties of Universal Algebra

Alexei Belov-Kanel
, Antonio Giambruno
, Louis Halle Rowen
, Uzi Vishne

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

The Zariski closure of an arbitrary representable (not necessarily associative) algebra is studied in the general context of universal algebra, with an application being that the codimension sequence is exponentially bounded.

Original language	English
Pages (from-to)	1771-1783
Number of pages	13
Journal	Algebras and Representation Theory
Volume	17
Issue number	6
DOIs	https://doi.org/10.1007/s10468-014-9469-8
State	Published - 2 Dec 2014

Keywords

Affine algebra
Codimension
Polynomial identities
Representable algebra
T-ideal
Universal algebra
Zariski closed

ASJC Scopus subject areas

General Mathematics

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10.1007/s10468-014-9469-8

Cite this

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title = "Zariski Closed Algebras in Varieties of Universal Algebra",

abstract = "The Zariski closure of an arbitrary representable (not necessarily associative) algebra is studied in the general context of universal algebra, with an application being that the codimension sequence is exponentially bounded.",

keywords = "Affine algebra, Codimension, Polynomial identities, Representable algebra, T-ideal, Universal algebra, Zariski closed",

author = "Alexei Belov-Kanel and Antonio Giambruno and Rowen, \{Louis Halle\} and Uzi Vishne",

note = "Publisher Copyright: {\textcopyright} 2014, Springer Science+Business Media Dordrecht.",

year = "2014",

month = dec,

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doi = "10.1007/s10468-014-9469-8",

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T1 - Zariski Closed Algebras in Varieties of Universal Algebra

AU - Belov-Kanel, Alexei

AU - Giambruno, Antonio

AU - Rowen, Louis Halle

AU - Vishne, Uzi

PY - 2014/12/2

Y1 - 2014/12/2

N2 - The Zariski closure of an arbitrary representable (not necessarily associative) algebra is studied in the general context of universal algebra, with an application being that the codimension sequence is exponentially bounded.

AB - The Zariski closure of an arbitrary representable (not necessarily associative) algebra is studied in the general context of universal algebra, with an application being that the codimension sequence is exponentially bounded.

KW - Affine algebra

KW - Codimension

KW - Polynomial identities

KW - Representable algebra

KW - T-ideal

KW - Universal algebra

KW - Zariski closed

UR - https://www.scopus.com/pages/publications/84916877500

U2 - 10.1007/s10468-014-9469-8

DO - 10.1007/s10468-014-9469-8

M3 - مقالة

SN - 1386-923X

VL - 17

SP - 1771

EP - 1783

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

IS - 6

ER -

Zariski Closed Algebras in Varieties of Universal Algebra

Abstract

Keywords

ASJC Scopus subject areas

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