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...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2015/824268 |
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| author | Benjamin Fine Anthony Gaglione Seymour Lipschutz Dennis Spellman |
| author_facet | Benjamin Fine Anthony Gaglione Seymour Lipschutz Dennis Spellman |
| author_sort | Benjamin Fine |
| collection | DOAJ |
| 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 | Article |
| id | doaj-art-0c279664c5604cb9922ec8ebb642dbdc |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-0c279664c5604cb9922ec8ebb642dbdc2025-02-03T05:58:02ZengWileyThe Scientific World Journal2356-61401537-744X2015-01-01201510.1155/2015/824268824268Discrimination in a General Algebraic SettingBenjamin Fine0Anthony Gaglione1Seymour Lipschutz2Dennis Spellman3Department of Mathematics, Fairfield University, Fairfield, CT 06430, USADepartment of Mathematics, United States Naval Academy, Annapolis, MD 21402, USADepartment of Mathematics, Temple University, Philadelphia, PA 19122, USADepartment of Mathematics, Temple University, Philadelphia, PA 19122, USADiscriminating 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.http://dx.doi.org/10.1155/2015/824268 |
| spellingShingle | Benjamin Fine Anthony Gaglione Seymour Lipschutz Dennis Spellman Discrimination in a General Algebraic Setting The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2015/824268 |
| work_keys_str_mv | AT benjaminfine discriminationinageneralalgebraicsetting AT anthonygaglione discriminationinageneralalgebraicsetting AT seymourlipschutz discriminationinageneralalgebraicsetting AT dennisspellman discriminationinageneralalgebraicsetting |