Articulos(INMABB)
http://hdl.handle.net/11336/68
Articulos de INST.DE MATEMATICA BAHIA BLANCA (I)Mon, 22 Jul 2019 22:42:06 GMT2019-07-22T22:42:06ZResolution of Algebraic Systems of Equations in the Variety of Cyclic Post Algebras
http://hdl.handle.net/11336/79693
Resolution of Algebraic Systems of Equations in the Variety of Cyclic Post Algebras
Díaz Varela, José Patricio; López Martinolich, Blanca Fernanda
There is a constructive method to define a structure of simple k-cyclic Post algebra of order p, Lp,k, on a given finite field F(pk), and conversely. There exists an interpretation Φ1 of the variety V(Lp,k) generated by Lp,k into the variety V(F(pk)) generated by F(pk) and an interpretation Φ2 of V(F(pk)) into V(Lp,k) such that Φ2Φ1(B) = B for every B ∈ V(Lp,k) and Φ1Φ2(R) = R for every R ∈ V(F(pk)). In this paper we show how we can solve an algebraic system of equations over an arbitrary cyclic Post algebra of order p, p prime, using the above interpretation, Gröbner bases and algorithms programmed in Maple.
Fri, 01 Jul 2011 00:00:00 GMThttp://hdl.handle.net/11336/796932011-07-01T00:00:00ZZariski-type topology for implication algebras
http://hdl.handle.net/11336/79686
Zariski-type topology for implication algebras
Abad, Manuel; Castaño, Diego Nicolás; Díaz Varela, José Patricio
In this work we provide a new topological representation for implication algebras in such a way that its one- point compactification is the topological space given in [1]. Some applications are given thereof.
Tue, 01 Jun 2010 00:00:00 GMThttp://hdl.handle.net/11336/796862010-06-01T00:00:00ZConditions for permutability of congruences in implication algebras
http://hdl.handle.net/11336/79649
Conditions for permutability of congruences in implication algebras
Castaño, Diego Nicolás; Díaz Varela, José Patricio
In this paper we give conditions on an implication algebra A so that two congruences θ1, θ2 on A permute, i.e. θ1 ○ θ2 = θ2 ○ θ1. We also provide simpler conditions for permutability in finite implication algebras. Finally we present some applications of these characterizations.
Tue, 01 Sep 2009 00:00:00 GMThttp://hdl.handle.net/11336/796492009-09-01T00:00:00ZUniversal coefficient theorem in triangulated categories
http://hdl.handle.net/11336/79648
Universal coefficient theorem in triangulated categories
Pirashvili, Teimuraz; Redondo, Maria Julia
We consider a homology theory Open image in new window on a triangulated category Open image in new window with values in an abelian category Open image in new window . If the functor h reflects isomorphisms, is full and is such that for any object x in Open image in new window there is an object X in Open image in new window with an isomorphism between h(X) and x, we prove that Open image in new window is a hereditary abelian category, all idempotents in Open image in new window split and the kernel of h is a square zero ideal which as a bifunctor on Open image in new window is isomorphic to Open image in new window.
Tue, 01 Apr 2008 00:00:00 GMThttp://hdl.handle.net/11336/796482008-04-01T00:00:00Z