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- Leonard Gillman
- 1960

Contents: Functions of a Topological Space.- Ideals and Z-Filters.- Completely Regular Spaces.- Fixed Ideals. Compact Spaces.- Ordered Residue Class Rings.- The Stone-Czech Compactification.-… (More)

The present paper deals with two distinct, though related, questions, concerning the ring C(X, R) of all continuous real-valued functions on a completely regular topological space X. The first of… (More)

A fixed fire extinguishing system wherein one or more aspiration members are disposed in an elevated position relative to the structure to be protected by fire. A sensor is adapted to respond to… (More)

A classical theorem of Steinitz [12, p. 125] states that the characteristic of an algebraically closed field, together with its absolute degree of transcendency, uniquely determine the field (up to… (More)

In this and the following paper [2], we are concerned with obtaining conditions on a commutative ring S with identity element in order that every matrix over S can be reduced to an equivalent… (More)

An abstract ring in which all finitely generated ideals are principal will be called an F-ring. Let C(X) denote the ring of all continuous real-valued functions defined on a completely regular… (More)

- Leonard Gillman
- 1958

Communicating mathematics well is an important part of doing mathematics. As you write up your homework solutions, keep these things in mind: • Write in sentences. Complete thoughts are sentences… (More)