Geometric view on homogeneous groups

E. Aladova

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

Abstract

In our work, we study algebraic structures within the framework of Logical Geometry. The main aim of Logical Geometry is to consider the interaction between the algebraic structure of an algebra and its geometrical and logical properties. This theory uses the ideas and considers the problems related to Universal Algebra, Model Theory and Algebraic Geometry. The present paper is focused on homogeneous groups. We will deal with three notions of homogeneous groups: algebraically homogeneous groups, logically homogeneous groups and weakly algebraically homogeneous groups. We survey recent results in this area and consider some open problems.

Original languageEnglish
Title of host publicationGroups, Algebras and Identities
EditorsEugene Plotkin
PublisherAmerican Mathematical Society
Pages77-86
Number of pages10
ISBN (Print)9781470437138
DOIs
StatePublished - 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

Bibliographical note

Publisher Copyright:
© 2019 E. Aladova.

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