Geometric view on homogeneous groups

E. Aladova

doi:10.1090/conm/726/14606

Geometric view on homogeneous groups

E. Aladova

Department of Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-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 language	English
Title of host publication	Groups, Algebras and Identities
Editors	Eugene Plotkin
Publisher	American Mathematical Society
Pages	77-86
Number of pages	10
ISBN (Print)	9781470437138
DOIs	https://doi.org/10.1090/conm/726/14606
State	Published - 2019
Event	Research Workshop of the Israel Science Foundation on Groups, Algebras and Identities, 2016 - Jerusalem, Israel Duration: 20 Mar 2016 → 24 Mar 2016

Publication series

Name	Contemporary Mathematics
Volume	726
ISSN (Print)	0271-4132
ISSN (Electronic)	1098-3627

Conference

Conference	Research Workshop of the Israel Science Foundation on Groups, Algebras and Identities, 2016
Country/Territory	Israel
City	Jerusalem
Period	20/03/16 → 24/03/16

Bibliographical note

Publisher Copyright:
© 2019 E. Aladova.

Funding

The research was partially supported by the Israel Science Foundation grants No. 533/14, No. 1207/12, by the Emmy Noether Institute and by Gelbart Institute for Mathematical Sciences, Department of Mathematics, Bar-Ilan University. Research partially supported by the Israel Science Foundation grants No. 533/14, No. 1207/12, by the Emmy Noether Institute and by the Gelbart Institute for Mathematical Sciences, Department of Mathematics, Bar-Ilan University.

Funders	Funder number
Emmy Noether Research Institute for Mathematics
Gelbart Institute for Mathematical Sciences
Department of Mathematics, Bar-Ilan University
Israel Science Foundation	1207/12, 533/14

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10.1090/conm/726/14606

Cite this

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Geometric view on homogeneous groups

Abstract

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