6 papers
Hyperbolicity of Semigroup Algebras II
E. Iwaki, E. Jespers, S. O. Juriaans +1
In 1996 Jespers and Wang classified finite semigroups whose integral semigroup ring has finitely many units. In a recent paper, Iwaki-Juriaans-Souza Filho continued this line of re…
Differential Calculus and Integration of Generalized Functions over Membranes
J. Aragona, R. Fernandez, S. O. Juriaans +1
In this paper we continue the development of the differential calculus started by Aragona-Ferandez-Juriaans. Guided by the topology introduced recently by those authors we introduc…
Generalized Solutions of a Nonlinear Parabolic Equation with Generalized Functions as Initial Data
Jorge Aragona, Antonio Ronaldo Gomes Garcia, Stanley Orlando Juriaans
In \cite{bf} Brézis and Friedman prove that certain nonlinear parabolic equations, with the -measure as initial data, have no solution. However in \cite{cl} Colombeau and Langla…
The Colombeau Quaternion Algebra
W. Cortes, M. A. Ferrero, S. O. Juriaans
We introduce the Colombeau Quaternio Algebra and study its algebraic structure. We also study the dense ideal, dense in the algebraic sense, of the algebra of Colombeau generalized…
Natural Topologies on Colombeau Algebras
J. Aragona, R. Fernandez, S. O. Juriaans
We define natural topologies on the Colombeau algebras which are compatible with the algebraic structure. These topologies reduces do Scarpalezos sharp topologies when restricted.…
Hyperbolicity of Semigroup Algebras
E. Iwaki, S. O. Juriaans, A. C. Souza Filho
Let be a finite dimensional algebra and a order. We classify those with the property that does not embed in . We call this last pr…