Algebras and Representation Theory

, Volume 17, Issue 6, pp 1771–1783 | Cite as

Zariski Closed Algebras in Varieties of Universal Algebra

  • Alexei Belov-Kanel
  • Antonio Giambruno
  • Louis Halle Rowen
  • Uzi Vishne
Article

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

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

Mathematics Subject Classifications (2010)

Primary: 16R10 17A30 Secondary: 16R30 17A01 17B01 17C05 

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Alexei Belov-Kanel
    • 1
  • Antonio Giambruno
    • 2
  • Louis Halle Rowen
    • 1
  • Uzi Vishne
    • 1
  1. 1.Department of MathematicsBar-Ilan UniversityRamat-GanIsrael
  2. 2.Dipartimento di Matematica e InformaticaUniversità di PalermoPalermoItaly

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