EUDML

Currently displaying 1 – 12 of 12

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On algebraic closures.

R. Raphael — 1992

Publicacions Matemàtiques

This is a description of some different approaches which have been taken to the problem of generalizing the algebraic closure of a field. Work surveyed is by Enoch and Hochster (commutative algebra), Raphael (categories and rings of quotients), Borho (the polynomial approach), and Carson (logic). Later work and applications are given.

On Conrad's partial order relation on semiprime rings and semigroups.

W.D. Burgess; R. Raphael — 1978

Semigroup forum

Some epimorphic regular contexts.

Raphael, R. — 1999

Theory and Applications of Categories [electronic only]

A minimal regular ring extension of C(X)

M. Henriksen; R. Raphael; R. G. Woods — 2002

Fundamenta Mathematicae

Let G(X) denote the smallest (von Neumann) regular ring of real-valued functions with domain X that contains C(X), the ring of continuous real-valued functions on a Tikhonov topological space (X,τ). We investigate when G(X) coincides with the ring $C (X, τ_{δ})$ of continuous real-valued functions on the space $(X, τ_{δ})$ , where $τ_{δ}$ is the smallest Tikhonov topology on X for which $τ \subseteq τ_{δ}$ and $C (X, τ_{δ})$ is von Neumann regular. The compact and metric spaces for which $G (X) = C (X, τ_{δ})$ are characterized. Necessary, and different sufficient, conditions...