In this paper we investigate those subvarieties of the variety SH of semi-Heyting algebras which are term-equivalent to the variety LH of Gödel algebras (linear Heyting algebras). We prove that the only other subvarieties ...

We classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero such that its coradical is isomorphic to the algebra of functions k D m over a dihedral group D m , with m=4a≥12. ...

We show that Jacobian algebras arising from every tagged triangulation of a sphere with n-punctures, with n ≥ 5, are finite dimensional algebras. We consider also a family of cyclically oriented quivers and we prove that, ...

This note presents a new proof of the fact that every uniformly bounded group of invertible elements in a finite von Neumann algebra is similar to a unitary group. In 1974, Vasilescu and Zsido proved this result using the ...

We present new Hopf algebras with the dual Chevalley property by determining all semisimple Hopf algebras Morita-equivalent to a group algebra over a finite group, for a list of groups supporting a non-trivial finite-dimensional ...

Let L and H be two Lie algebras and UL and UH be their respective universal enveloping algebras. The isomorphism problem for universal enveloping algebras of Lie algebras asks us to determine under what conditions the ...

Esta tesis es un aporte a la clasificación de las álgebras de Hopf punteadas de dimensión de Gelfand-Kirillov finita sobre cuerpos algebraicamente cerrados y de característica cero. En una primera instancia nos concentramos ...