World Library  


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
File Size: 824 KB
Reproduction Date: 9/14/2011
Full Text

Title: Smarandache Non-Associative Rings  
Author: W. B. Vasantha Kandasamy
Volume:
Language: English
Subject: Non-Fiction, Education, Smarandache Collections
Collection: Authors Community
Subcollection: Mathematics
Historic
Publication Date:
Publisher: American Research Press
Member Page: Florentin Smarandache

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.

 

Click To View

Additional Books


  • Alice in Wonderland (by )
    Book Rating (10197)
  • Biological Lectures Delivered at the Mar... (by )
    Book Rating (61)
  • The Power of Our Words (by )
    Book Rating (5431)
  • Coriolanus, Julius Caesar, Romeo and Jul... (by )
    Book Rating (155)
  • Anna Karenina, Vol. 1 (by )
    Book Rating (15)
  • The Future of the Internet : And How to ... (by )
    Book Rating (1274)
  • Anna Karenina, Vol. 5 (by )
    Book Rating (30)
  • Breathe Smart : The Secret to Happiness,... (by )
    Book Rating (547)
  • Proceedings of the National Convention o... (by )
    Book Rating (3)
  • A History of the Society of Writers to H... (by )
    Book Rating (132)
  • Œuvres de Fourier : Vol. 1 Volume Vol. 1 (by )
    Book Rating (3)
  • Improving Our Leadership (by )
    Book Rating (3)
Scroll Left
Scroll Right

 



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