## Linear Operators, Part 1 |

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Page 40

An element which is not (right, left) regular is called (right, left) singular. If p is a

field, then a set X is said to be an

space over Q) and if 2(aiy) = (xx)y= a(xy), a', ye X, o, e QP. A right (left, two-sided)

...

An element which is not (right, left) regular is called (right, left) singular. If p is a

field, then a set X is said to be an

**algebra**over p if X is a ring as well as a vectorspace over Q) and if 2(aiy) = (xx)y= a(xy), a', ye X, o, e QP. A right (left, two-sided)

...

Page 44

On the other hand, if B is a Boolean ring with unit denoted by 1, then if a “ y is

defined to mean a = ory, and a' = 1 +a, then B is a Boolean

+y+ary, a A y = a y. Thus the concepts of Boolean

...

On the other hand, if B is a Boolean ring with unit denoted by 1, then if a “ y is

defined to mean a = ory, and a' = 1 +a, then B is a Boolean

**algebra**and a V y = a+y+ary, a A y = a y. Thus the concepts of Boolean

**algebra**and Boolean ring with...

Page 272

This important theorem has had a number of farreaching generalizations; notable

among these is one due to M. H. Stone which will be discussed here. We note

first that C(S) is an

This important theorem has had a number of farreaching generalizations; notable

among these is one due to M. H. Stone which will be discussed here. We note

first that C(S) is an

**algebra**, for if f and g are in C(S), then the product fg, defined ...### What people are saying - Write a review

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### Contents

A Settheoretic Preliminaries | 1 |

Convergence and Uniform Convergence of Generalized | 26 |

Algebraic Preliminaries | 34 |

Copyright | |

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