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We generalize a result on the Heisenberg Lie algebra that gives restrictions to possible Lie bialgebra cobrackets on 2-step nilpotent algebras with some additional properties. For the class of 2-step nilpotent Lie algebr...

"SPARQL queries can be represented in RDF in order to work with them as first-class citizen in Semantic Web applications. The representation used so far, SPIN SPARQL, closely follows the abstract syntax tree, but fails t...

The following open problem state that: If  is a dense range homomorphism from Banach algebra into Banach algebra  such that  is semisimple. Is  automatically continuous? (see[1]) In [5] given a partial solution of th...

In this paper we investigate a subvariety BA of tense algebras, which we call Boolean algebras with a distinguished automorphism. This variety provides a unifying framework for the algebras studied by Monteiro in [4] and...

In this paper we study the theory of cleft extensions for a weak bialgebra H. Among other results, we determine when two unitary crossed products of an algebra A by H are equivalent and we prove that if H is a weak Hopf ...

Abstract Quantum theories of gravity are generally expected to have some degree of non-locality, with familiar local physics emerging only in a particular limit. Perturbative quantum gravity around backgrounds with isome...

This quantitative study investigated the efficacy of a multiple measures placement algorithm designed to broaden access to a transferable college algebra course among dual-credit students at a large, suburban community c...

This paper addresses trajectory tracking problem in mobile robots considering additive uncertainties. The controller design method is based on linear algebra theory. Numerical estimation techniques are used to estimate t...

We say that an algebra a is multiplicative prime if both a and m(a) ( the multiplication algebra of a) are prime . in this paper , we study the transitivity of the property of multiplicative primeness for real normal alg...

We contribute to the classification of Hopf algebras with finite Gelfand-Kirillov dimension, GKdim for short, through the study of Nichols algebras over abelian groups. We deal first with braided vector spaces over Z wit...

We consider a class of Nichols algebras B(Lq(1 , G)) introduced in Andruskiewitsch et al. which are domains and have many favourable properties like AS-regular and strongly noetherian. We classify their finite-dimensiona...

The students' mathematical understanding is important to master. Mathematical understanding is also one of the goals of each material presented by the teacher, because the teacher is a guide to achieve the expected conce...

Since the representation theory start, the mathematics science especially in algebra began to open many new researches such our this one, we start from Schur algebra in his new representation described by Green [6], pass...

In this paper we give a constructive proof that the variety of Boolean algebras has the strong amalgamation property by describing constructively the strong amalgams in the variety. Then, capitalizing on this constructio...

Background: The transition from arithmetic to algebra remains a persistent challenge in early mathematics education. While structural awareness is widely recognised as foundational to this shift, the developmental mecha...

Esta tesis está dividida en dos partes. La primera parte está dedicada al estudio de la variedad MMV de las MV-álgebras monádicas y de sus subreductos implicativos. En primer lugar, demostramos que MMV está generada...

Este trabajo tiene como objetivo relatar el papel que juega el uso de un Sistema de Álgebra Computacional (CAS) en el marco de la experiencia de innovación en un curso de integración en una y varias variables, Matemá...

La suma variedad de los conocimientos que hoy atesora la química, no solo exige de sus cultores una preparación científica amplia y esmerada, sino también un alto espíritu filosófico para interpretar tan variados f...

El espíritu de esta tesis ha sido estudiar la aplicación de métodos algebraicos en la descripción de sistemas cuánticos de muchas part´ıculas, cuyo comportamiento puede homologarse al de: a) N átomos idénticos ...

"Relation algebras are algebras arising from the study of binary relations. They form a part of the eld of algebraic logic, and have applications in proof theory, modal logic, and computer science. An interesting problem...

Los Sistemas Diferenciales Algebraicos (SDA) son también conocidos como sistemas singulares, implícitos, descriptores o sistemas generalizados. Surgen naturalmente como modelos dinámicos de aplicaciones de la ingenier...

Con el objeto de iniciarme en la tarea de realizar investiación en Matemáticas y Lógica Matemática, Aldo V. Figallo, mi pa-dre y director de este trabajo, me sugirió comenzar con el análisis de un sistema proposici...

Claes Fornell, David F. Larcker, Structural Equation Models with Unobservable Variables and Measurement Error: Algebra and Statistics, Journal of Marketing Research, Vol. 18, No. 3 (Aug., 1981), pp. 382-388