Page 1 Next

Displaying 1 – 20 of 23

Showing per page

An equivalence between varieties of cyclic Post algebras and varieties generated by a finite field

Abad Manuel, Díaz Varela J., López Martinolich B., C. Vannicola M., Zander M. (2006)

Open Mathematics

In this paper we give a term equivalence between the simple k-cyclic Post algebra of order p, L p,k, and the finite field F(p k) with constants F(p). By using Lagrange polynomials, we give an explicit procedure to obtain an interpretation Φ1 of the variety V(L p,k) generated by L p,k into the variety V(F(p k)) generated by F(p k) and an interpretation Φ2 of V(F(p k)) into V(L p,k) such that Φ2Φ1(B) = B for every B ε V(L p,k) and Φ1Φ2(R) = R for every R ε V(F(p k)).

Hu's Primal Algebra Theorem revisited

Hans-Eberhard Porst (2000)

Commentationes Mathematicae Universitatis Carolinae

It is shown how Lawvere's one-to-one translation between Birkhoff's description of varieties and the categorical one (see [6]) turns Hu's theorem on varieties generated by a primal algebra (see [4], [5]) into a simple reformulation of the classical representation theorem of finite Boolean algebras as powerset algebras.

Post algebras in 3-rings.

Rudeanu, Sergiu (2007)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Subdirectly irreducible MV-algebras

Hernando Gaitan (2003)

Czechoslovak Mathematical Journal

In this note we characterize the one-generated subdirectly irreducible MV-algebras and use this characterization to prove that a quasivariety of MV-algebras has the relative congruence extension property if and only if it is a variety.

Currently displaying 1 – 20 of 23

Page 1 Next