A minimal regular ring extension of C(X)

A minimal extension

DTDs and XML Schema are important validation languages for XML documents. They lie at opposite ends of a spectrum of validation languages in terms of expressive power and readability. Differently from other proposals for validation languages, DTD++ provides a DTD-like syntax to XML Schema constructs, thereby enriching the ease of use and reading of DTDs with the expressive power of XML Schema. ...

Rigid Resolution of a Finitely Generated Module Over a Regular Local Ring

On Minimal Completely Regular Spaces Associated With a Given Ring of Continuous Functions

On minimal completely regular spaces associated with a given ring of continuous functions." Michigan

Double Extension Regular Algebras

Abstract. We construct several families of Artin-Schelter regular algebras of global dimension four using double Ore extension and then prove that all these algebras are strongly noetherian, Auslander regular, Koszul and CohenMacaulay domains. Many regular algebras constructed in the paper are new and are not isomorphic to either a normal extension or an Ore extension of an Artin-Schelter regul...

The Maximal Regular Ideal of a Ring