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Semi-Nelson Algebras
(Springer, 2016-11)
Generalizing the well known and exploited relation between Heyting and Nelson algebras to semi-Heyting algebras, we introduce the variety of semi-Nelson algebras. The main tool for its study is the construction given by ...
Representations of copointed Hopf algebras arising from the tetrahedron rack
(Springer, 2013-12)
We study the copointed Hopf algebras attached to the Nichols algebra of the affine rack Aff(F4,w), also known as tetrahedron rack, and the 2-cocycle −1. We investigate the so-called Verma modules and classify all the ...
The Gap Between Local Multiplier Algebras of C ∗ -algebras∗
(Oxford University Press, 2009-09)
The local multiplier algebra Mloc(A) of a C*-algebra A has the property that Mloc (A) ⊆ Mloc(Mloc(A)). In this paper we show that there is a separable liminal C*-algebra A such that the inclusion is proper.
Symmetric structure for closure algebras
(Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática, 2007)
The aim of this paper is to investigate the variety of symmetric closure algebras, that is, closure algebras endowed with a De Morgan operator. Some general properties are derived. Particularly, the lattice of subvarieties ...
Prelinear Hilbert algebras
(Elsevier, 2019-08)
In this paper we give an explicit description of the left adjoint of the forgetful functor from the algebraic category of Gödel algebras (i.e., prelinear Heyting algebras) to the algebraic category of bounded prelinear ...
Quantum function algebras from finite-dimensional Nichols algebras
(European Mathematical Society, 2020-10)
We describe how to find quantum determinants and antipode formulas from braidedvector spaces using the FRT-construction and finite-dimensional Nichols algebras. It improvesthe construction of quantum function algebras using ...
A Topological Duality for k x j-rough Heyting Algebras
(Old City Publishing Inc, 2020-08)
k-rough Heyting algebras were introduced by Eric San Juan as an algebraic formalism for reasoning on finite increasing sequences over Boolean algebras in general and on generalizations of rough set concepts in particular. ...
Semi-Heyting Algebras Term-equivalent to Gödel Algebras
(Springer, 2013-07)
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 ...
De-Equivariantization of Hopf Algebras
(Springer, 2014-02)
We study the de-equivariantization of a Hopf algebra by an affine group scheme and we apply Tannakian techniques in order to realize it as the tensor category of comodules over a coquasi-bialgebra. As an application we ...
Preservice elementary teacher´s thinking about algebraic reasoning
(LOOK Academic PublishersMatemática, Educación y Sociedad (MES), 2017)