On the zariski topology of Ω-groups

R. Lipyanski

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A number of geometric properties of Ω-groups from a given variety of Ω-groups can be characterized using the notions of domain and equational domain. An Ω-group H of a variety Θ is an equational domain in Θ if the union of algebraic varieties over H is an algebraic variety. We give necessary and sufficient conditions for an Ω-group H in Θ to be an equational domain in this variety.

Original languageEnglish
Title of host publicationGroups, Algebras and Identities
EditorsEugene Plotkin
PublisherAmerican Mathematical Society
Pages135-142
Number of pages8
ISBN (Print)9781470437138
DOIs
StatePublished - 1 Jan 2019
EventResearch Workshop of the Israel Science Foundation on Groups, Algebras and Identities, 2016 - Jerusalem, Israel
Duration: 20 Mar 201624 Mar 2016

Publication series

NameContemporary Mathematics
Volume726
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Conference

ConferenceResearch Workshop of the Israel Science Foundation on Groups, Algebras and Identities, 2016
Country/TerritoryIsrael
CityJerusalem
Period20/03/1624/03/16

Keywords

  • Anticommutative Ω-group
  • Equational domain
  • The Zariski topology
  • Variety of Ω-groups

ASJC Scopus subject areas

  • General Mathematics

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