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Discrimination in a General Algebraic Setting
Discriminating groups were introduced by G. Baumslag, A. Myasnikov, and V. Remeslennikov as an outgrowth of their theory of algebraic geometry over groups. Algebraic geometry over groups became the main method of attack on the solution of the celebrated Tarski conjectures. In this paper we explore t...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Hindawi Publishing Corporation
2015
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4485932/ https://www.ncbi.nlm.nih.gov/pubmed/26171421 http://dx.doi.org/10.1155/2015/824268 |
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author | Fine, Benjamin Gaglione, Anthony Lipschutz, Seymour Spellman, Dennis |
author_facet | Fine, Benjamin Gaglione, Anthony Lipschutz, Seymour Spellman, Dennis |
author_sort | Fine, Benjamin |
collection | PubMed |
description | Discriminating groups were introduced by G. Baumslag, A. Myasnikov, and V. Remeslennikov as an outgrowth of their theory of algebraic geometry over groups. Algebraic geometry over groups became the main method of attack on the solution of the celebrated Tarski conjectures. In this paper we explore the notion of discrimination in a general universal algebra context. As an application we provide a different proof of a theorem of Malcev on axiomatic classes of Ω-algebras. |
format | Online Article Text |
id | pubmed-4485932 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | Hindawi Publishing Corporation |
record_format | MEDLINE/PubMed |
spelling | pubmed-44859322015-07-13 Discrimination in a General Algebraic Setting Fine, Benjamin Gaglione, Anthony Lipschutz, Seymour Spellman, Dennis ScientificWorldJournal Research Article Discriminating groups were introduced by G. Baumslag, A. Myasnikov, and V. Remeslennikov as an outgrowth of their theory of algebraic geometry over groups. Algebraic geometry over groups became the main method of attack on the solution of the celebrated Tarski conjectures. In this paper we explore the notion of discrimination in a general universal algebra context. As an application we provide a different proof of a theorem of Malcev on axiomatic classes of Ω-algebras. Hindawi Publishing Corporation 2015 2015-06-01 /pmc/articles/PMC4485932/ /pubmed/26171421 http://dx.doi.org/10.1155/2015/824268 Text en Copyright © 2015 Benjamin Fine et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
spellingShingle | Research Article Fine, Benjamin Gaglione, Anthony Lipschutz, Seymour Spellman, Dennis Discrimination in a General Algebraic Setting |
title | Discrimination in a General Algebraic Setting |
title_full | Discrimination in a General Algebraic Setting |
title_fullStr | Discrimination in a General Algebraic Setting |
title_full_unstemmed | Discrimination in a General Algebraic Setting |
title_short | Discrimination in a General Algebraic Setting |
title_sort | discrimination in a general algebraic setting |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4485932/ https://www.ncbi.nlm.nih.gov/pubmed/26171421 http://dx.doi.org/10.1155/2015/824268 |
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