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Some epimorphic regular contexts.

Raphael, R. — 1999

Theory and Applications of Categories [electronic only]

Compactifications, $C (X)$ and ring epimorphisms.

Burgess, W.D.; Raphael, R. — 2006

Theory and Applications of Categories [electronic only]

On essential ring embeddings and the epimorphic hull of $C (X)$ .

Raphael, R.; Woods, R.G. — 2005

Theory and Applications of Categories [electronic only]

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.

Ring epimorphisms and $C (X)$ .

Barr, Michael; Burgess, W. D.; Raphael, R. — 2003

Theory and Applications of Categories [electronic only]

Local extension of maps.

Barr, Michael; Kennison, John F.; Raphael, R. — 2009

The New York Journal of Mathematics [electronic only]

Isbell duality.

Barr, Michael; Kennison, John F.; Raphael, R. — 2008

Theory and Applications of Categories [electronic only]

Isbell duality for modules.

Barr, Michael; Kennison, John F.; Raphael, R. — 2009

Theory and Applications of Categories [electronic only]

Searching for more absolute CR-epic spaces.

Barr, Michael; Kennison, John F.; Raphael, R. — 2009

Theory and Applications of Categories [electronic only]

On *-autonomous categories of topological modules.

Barr, Michael; Kennison, John F.; Raphael, R. — 2010

Theory and Applications of Categories [electronic only]

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

W.D. Burgess; R. Raphael — 1978

Semigroup forum

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...

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Currently displaying 1 – 12 of 12

Some epimorphic regular contexts.

Compactifications, $C (X)$ and ring epimorphisms.

On essential ring embeddings and the epimorphic hull of $C (X)$ .

On algebraic closures.

Ring epimorphisms and $C (X)$ .

Local extension of maps.

Isbell duality.

Isbell duality for modules.

Searching for more absolute CR-epic spaces.

On *-autonomous categories of topological modules.

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

A minimal regular ring extension of C(X)