Add to Book Shelf
Flag as Inappropriate
Email this Book

Smarandache Non-Associative Rings

By W. B. Vasantha Kandasamy

Click here to view

Book Id: WPLBN0002097649
Format Type: PDF eBook:
File Size: 0.8 MB
Reproduction Date: 9/14/2011

Title: Smarandache Non-Associative Rings  
Author: W. B. Vasantha Kandasamy
Volume:
Language: English
Subject: Non-Fiction, Education, Smarandache Collections
Collections: Mathematics, Algebra, Authors Community, Math, Political Science, Literature, Most Popular Books in China, Favorites in India, Education
Historic
Publication Date:
Publisher: American Research Press
Member Page: Florentin Smarandache

Citation

APA MLA Chicago

B. Vasantha Kandasam, B. W. (n.d.). Smarandache Non-Associative Rings. Retrieved from http://gutenberg.cc/


Excerpt
An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic structures say a commutative ring with 1 (or a field) together with a loop or a groupoid or a vector space or a linear algebra. The two non-associative well-known algebras viz. Lie algebras and Jordan algebras are mainly built using a vector space over a field satisfying special identities called the Jacobi identity and Jordan identity respectively. Study of these algebras started as early as 1940s. Hence the study of non-associative algebras or even non-associative rings boils down to the study of properties of vector spaces or linear algebras over fields.

 
 



Copyright © World Library Foundation. All rights reserved. eBooks from Project Gutenberg are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.