title: Discrimination in a General Algebraic Setting.
abstract: 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.
authors.affiliation: Department of Mathematics, Fairfield University, Fairfield, CT 06430, USA.
authors.forename: Benjamin
authors.initials: B
authors.lastname: Fine
authors.affiliation: Department of Mathematics, United States Naval Academy, Annapolis, MD 21402, USA.
authors.forename: Anthony
authors.initials: A
authors.lastname: Gaglione
authors.affiliation: Department of Mathematics, Temple University, Philadelphia, PA 19122, USA.
authors.forename: Seymour
authors.initials: S
authors.lastname: Lipschutz
authors.affiliation: Department of Mathematics, Temple University, Philadelphia, PA 19122, USA.
authors.forename: Dennis
authors.initials: D
authors.lastname: Spellman