Smarandache Near Rings is popular PDF and ePub book, written by W. B. Vasantha Kandasamy in 2002, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Smarandache Near Rings can be Read Online from any device for your convenience.
Smarandache Near Rings Book PDF Summary
Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B in A which is embedded with a stronger structure S. These types of structures occur in our everyday life, that's why we study them in this book. Thus, as a particular case: A Near-Ring is a non-empty set N together with two binary operations '+' and '.' such that (N, +) is a group (not necessarily abelian), (N, .) is a semigroup. For all a, b, c in N we have (a + b) . c = a . c + b . c. A Near-Field is a non-empty set P together with two binary operations '+' and '.' such that (P, +) is a group (not necessarily abelian), (P \ {0}, .) is a group. For all a, b, c I P we have (a + b) . c = a . c + b . c. A Smarandache Near-ring is a near-ring N which has a proper subset P in N, where P is a near-field (with respect to the same binary operations on N).
Detail Book of Smarandache Near Rings PDF
- Author : W. B. Vasantha Kandasamy
- Release : 20 September 2024
- Publisher : Infinite Study
- ISBN : 9781931233668
- Genre : Mathematics
- Total Page : 201 pages
- Language : English
- PDF File Size : 12,6 Mb
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