•  
  •  
 

Document Type

Research

Abstract

Let 0 and 1 denote the null and unit elements of a Boolean algebra B. The following four functions with argument in B and values in B are of fundamental importance in Boolean algebra. They are: the null function, defined by 0x = 0; the unit function, defined by 1x = 1; the identity function j, defined by jx = x, and the complementary function c, defined by the rule, ex is the complement of x. These four functions, 0, 1, j, c, form a tri-operational algebra in the sense of Karl Menger.

Publication Date

1946

Journal Title

Proceedings of the Iowa Academy of Science

Volume

53

Issue

1

First Page

247

Last Page

248

Copyright

© Copyright 1946 by the Iowa Academy of Science, Inc.

Language

EN

File Format

application/pdf

Share

COinS
 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.