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Rings on R2

How can we define multiplication of ordered pairs of real numbers to make \(\Re^2\) into a ring, or field? In this article, the author derives conditions for certain types of rings and extends the results to \(\Re^3\).

Old Node ID: 
1842
Author(s): 
H. Holden (Gonzaga University)
Publication Date: 
Wednesday, June 4, 2008
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
February, 1989
Subject(s): 
Abstract Algebra
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
File Content: 
Rating Count: 
94.00
Rating Sum: 
272.00
Rating Average: 
2.89
Author (old format): 
H. Holden
Applicable Course(s): 
4.2 Mod Algebra I & II
Modify Date: 
Tuesday, July 29, 2008
Average: 2.9 (94 votes)

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