Generating finite integral relation algebras

Relation algebras and categories of relations in particular have proven to be extremely useful as a fundamental tool in mathematics and computer science. Since relation algebras are Boolean algebras with some well-behaved operations, every such algebra provides an atom structure, i.e., a relational structure on its set of atoms. In the case of complete and atomic structure (e.g. finite algebras), the original algebra can be recovered from its atom structure by using the complex algebra construction. This gives a representation of relation algebras as the complex algebra of a certain relational structure. This property is of particular interest because storing the atom structure requires less space than the entire algebra. In this thesis I want to introduce and implement three structures representing atom structures of integral heterogeneous relation algebras, i.e., categorical versions of relation algebras. The first structure will simply embed a homogeneous atom structure of a relation algebra into the heterogeneous context. The second structure is obtained by splitting all symmetric idempotent relations. This new algebra is in almost all cases an heterogeneous structure having more objects than the original one. Finally, I will define two different union operations to combine two algebras into a single one.

Prime Rational Functions and Integral Polynomials

Let f(x) be a complex rational function. In this work, we study conditions under which f(x) cannot be written as the composition of two rational functions which are not units under the operation of function composition. In this case, we say that f(x) is prime. We give su���cient conditions for complex rational functions to be prime in terms of their degrees and their critical values, and we derive some conditions for the case of complex polynomials. We consider also the divisibility of integral polynomials, and we present a generalization of a theorem of Nieto. We show that if f(x) and g(x) are integral polynomials such that the content of g divides the content of f and g(n) divides f(n) for an integer n whose absolute value is larger than a certain bound, then g(x) divides f(x) in Z[x]. In addition, given an integral polynomial f(x), we provide a method to determine if f is irreducible over Z, and if not, ���nd one of its divisors in Z[x].

Auditor��a integral : importancia en la aplicaci��n al sector p��blico.

Tesis (Maestr��a en Contadur��a P��blica con Especialidad en Auditor��a) UANL

Evaluaci��n del acuitardo somero en la regi��n de Mend��z, Tamaulipas y sus aplicaciones para instalaci��n de un centro integral para el manejo y aprovechamiento de residuos industriales

Tesis (Maestr��a en Ciencias con Especialidad en Hidrolog��a Subterranea) UANL

Incremento en la participaci��n de los ni��os a los campamentos infantiles de verano de la Facultad de Organizaci��n Deportiva, favorecida por el cambio de programa integral, al programa acu��tico

Tesis (Maestr��a en Ciencias del Ejercicio con Especialidad en Alto Rendimiento) UANL

Propuesta de una metodolog��a de evaluaci��n del sistema integral del tr��nsito metropolitano

Tesis (Maestr��a en Ciencias con Especialidad en Ingenieria de Tr��nsito) UANL

Impacto de un programa de atenci��n nutriol��gica integral en el tratamiento de la obesidad

Tesis (Maestr��a en Salud P��blica con Especialidad en Nutrici��n Comunitaria) UANL.

Calidad integral [por] Alfonso Gerardo Vargas Bueno

Tesis (Maestr��a en Ciencias de la Administraci��n, con especialidad en Producci��n y Calidad) U.A.N.L. - 1993

La cooperaci��n intermunicipal como alternativa de desarrollo integral

UANL

Liderazgo integral [por] Andy Javier Correa Montejo

Tesis (Maestr��a en Administraci��n de Empresas) U.A.N.L.

Elementos para una auditor��a ambiental integral por Gabriela Medell��n Palacios

Tesis (Maestr��a en Ciencias con Especialidad en Ingenier��a Ambiental) U.A.N.L.

Evaluaci��n integral de la revista Estrat��gica como medio difusor de conocimiento [por] Nantli Garc��a Pi����n

Tesis (Maestr��a en Ciencias con Especialidad en Formaci��n y Capacitaci��n para Recursos Humanos) U.A.N.L.

Administraci��n de la calidad una visi��n integral

Tesis (Maestro en Contadur��a P��blica) U.A.N.L.

Propuesta did��ctica dise��o de estrategias did��cticas que permitan relacionar las unidades de estructura at��mica, periodicidad y enlace qu��mico, para lograr un conocimiento integral en el curso de qu��mica I [por] Nora Alicia Barbosa Tijerina

Tesis (Maestr��a en la Ense��anza de las Ciencias con Especialidad en Qu��mica) U.A.N.L.

Sistema integral de control de inventarios para mantenimiento en planta industrial

Tesis (Maestro en Ciencias de la Administraci��n con Especialidad en Sistemas ) - Universidad Aut��noma de Nuevo Le��n, 2000