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Beta Algebra
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Beta Algebra

We begin with a question: 'Can we define consistent algebraic structure with infinitely many identity elements?' For this purpose we proceed with a definition of a beta group, where infinitely many identity elements are allowed and every 'normal' element has infinitely many inverse elements. The investigation of such complicated structure occupies main part of the text.

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Product Details:
Author: Algirdas Javtokas
Paperback: 28 pages
Publisher: BookSurge Publishing
Publication Date: May 10, 2006
Language: English
ISBN: 1419636138
Package Length: 8.0 inches
Package Width: 7.8 inches
Package Height: 0.2 inches
Package Weight: 0.2 pounds
Average Customer Rating: based on 1 reviews
 
 

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Average Customer Review:4.0 ( 1 customer reviews )
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7 of 10 found the following review helpful:

4A really odd and original mathematics text  Dec 04, 2006
By calvinnme
Algirdas Javtokas in his book Beta Algebra has suggested five axioms where he investigates algebraic structures with infinitely many identity and inverse elements. This book begins the discussion about possible realization of such structures. The author's concept of many "units" is lying in the core of the chosen axiomatic system and it is not definable in secondary steps. The most surprising fact about the new structure is that it maintains some of the classical properties of groups. The idea looks pretty simple and somehow it really captures your attention probably because of the craziness of the thought and the charm of unexpectedness. I wouldn't suggest this very short book for someone who is not intimately familiar with the theory of abstract algebra. Also, this book was self-published and therefore probably self-editted. Thus, there are some problems with the author's English that sometimes makes it more difficult than necessary to figure out exactly what he is saying.

As an aside, strangely enough, this book has been banned in a few countries, the most prominent being North Korea. I can't imagine what someone could find dangerous about this book other than the fact that it is so off the wall that it really makes you think, and dictators hate original thinkers.

 
 
 
 
 
 
 
 
 
 
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