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The K-theory of toric schemes over regular rings of mixed characteristic
(Springer, 2018)
We show that if X is a toric scheme over a regular commutative ring k then the direct limit of the K-groups of X taken over any infinite sequence of nontrivial dilations is homotopy invariant. This theorem was previously ...
On spectral compactness of von neumann regular rings
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 2012)
We characterize the spectral compactness of commutative von Neumann regular rings. We show that through a process of adjunction of identity, we can obtain the Alexandroff compactification or a star compactification of the ...
Some adjunctions associated with extensions and restrictions of ideals in the context of commutative rings
(Boletín de Matemáticas, 2013)
Given a commutative ring R and S one of its ideals, the function I -- and gt; (I : S) that transforms ideals of R into ideals of R, is right adjoint of the function I -- and gt; IS. We define the S−maximal ideals of R as ...
Some remarks about the fusible property of noncommutative polynomial extensions
(Bogotá - Ciencias - Maestría en Ciencias - MatemáticasDepartamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-05-31)
In this work, we focus on three objectives: first, we investigate fusible property on skew PBW extensions, recognizing conditions that guarantee the property for this family of algebras. Later, we turn our attention to the ...
Associated prime ideals of noncommutative rings of polynomials type
(Departamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2019-10)
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 ...
Algebraic geometry of topological spaces I
(Institut Mittag-Leffler, 2012-09)
We use techniques from both real and complex algebraic geometry to study K-theoretic and related invariants of the algebra C(X) of continuous complex-valued functions on a compact Hausdorff topological space X. For example, ...
Singular coefficients in the K-theoretic Farrell-Jones conjecture
(Mathematical Sciences Publishers, 2016-02)
Let G be a group and let k be a field of characteristic zero. We prove that if the Farrell-Jones conjecture for the K-theory of R [G] is satisfied for every smooth k -algebra R, then it is also satisfied for every commutative ...