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Listar por autor "Reyes, Armando"
Mostrando documentos 1-10 de 10
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A note on zip and reversible skew PBW extensions
In this note we establish necessary and sufficient conditions to guarantee the existence of zip and reversible skew PBW extensions.Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas. -
Associated prime ideals of noncommutative rings of polynomials type
En el presente trabajo estudiamos los ideales primos asociados de algunos anillos no conmutativos de tipo polinomial. En la literatura encontramos que estos ideales fueron caracterizados en un primer trabajo por Brewer y ... -
BASES FOR QUANTUM ALGEBRAS AND SKEW POINCARÉ-BIRKHOFF-WITT EXTENSIONS
Considering quantum algebras and skew Poincaré-Birkhoff-Witt (PBW for short) extensions defined by a ring and a set of variables with relations between them, we are interesting in finding a criteria and some algorithms ...Universidad Nacional de Colombia Revistas electrónicas UN MOMENTO - Revista de Física. -
Calabi-Yau property for graded skew PBW extensions
Graded skew PBW extensions were defined by the first author as a generalization of graded iterated Ore extensions [36]. The purpose of this paper is to study the Artin-Schelter regularity and the (skew) Calabi-Yau condition ...Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas. -
Duo, quasi-duo and ascending chain condition principal properties over skew PBW extensions
Ore extensions (introduced by Ore [33]) have been one of the most studied non-commutative structures in the last century. The skew polynomial rings (see Definition 1.1.1) are an Ore extensions that thanks to its similarity ...Universidad Nacional de Colombia Sede Bogotá Facultad de Ciencias Departamento de Matemáticas. -
Gelfand-kirillov dimension of skew pbw extensions
Gelfand-Kirillov dimension of Poincaré-Birkhoff-Witt (PBW for short) extensions was established by Matczuk ([15], Theorem A). Since PBW extensions are a particular example of skew PBWextensions (also called σ-PBW extensions), ...Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas. -
Involutive and SAGBI bases for skew PBW extensions
In this thesis, we study homological properties and SAGBI and Involutive bases of the noncommutative rings known as skew PBW extensions. First, we present some ring- theoretical notions of these extensions that are necessary ... -
Operaciones básicas de números racionales aplicados en el planteamiento y resolución de problemas de ciencias en los grados sexto y séptimo de la Institución Educativa Virgen del Carmen
Resumen Este trabajo final plantea la resolución de problemas matemáticos aplicando operaciones básicas con números racionales en los contextos de las ciencias naturales, mediante la cual el docente reconoce en los ...Universidad Nacional de Colombia Sede Bogotá Facultad de Ciencias Área curricular de Formación en Ciencias Maestría en Enseñanza de las Ciencias Exactas y Naturales. -
Some ring theoretical properties of skew Poincaré-Birkhoff-Witt extensions
In this paper we investigate a notion of Armendariz ring for skew Poincaré-Birkhoff-Witt extensions. We proceed with the study on the relationship between the ring theoretical properties of being Baer, quasi-Baer, p.p. and ...Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas. -
Uniform dimension over skew pbw extensions
The aim of the present paper is to show that, under some conditions, the uniform dimension of a ring R is the same as the uniform dimension of a skew Poincaré-Birkhoff-Witt extension built on R.Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas.
