Colombeau's Algebra of full Generalized Numbers

Details Colombeau's Algebra of full Generalized Numbers Colombeau's Algebra of full Generalized Numbers

2009-09-02

arxiv.org/abs/0909.0348v1

Mathematics

Commutative Algebra

This paper have 17 pg. and is part of my work of PHD in the IME-USP

Scientific paper

Let $\bar{\Kset}_f$ denote the commutative unital ring of Colombeau's full generalized numbers. This ring can be endowed with an ultra-metric in such a way that it becomes a topological ring. There are many interesting question about $\bar{\Kset}_f$ in the framework of Commutative Algebra and General Topology as well as of the superposition of these two subjects. The purpose of this paper aims to give an initial step toward the study of this ring.

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