On the Number of Smarandache Zero-Divisors and Smarandache Weak Zero-Divisors in Loop Rings.
Scientia Magna, 2005, June, 1, 2
-
- 12,99 zł
-
- 12,99 zł
Publisher Description
Abstract In this paper we find the number of smarandache zero divisors (S-zero divisors) and smarandache weak zero divisors (S-weak zero divisors) for the loop rings [Z.sub.2][L.sub.n](m) of the loops [L.sub.n] (m) over [Z.sub.2]. We obtain the exact number of S-zero divisors and S-weak zero divisors when n = [p.sup.2] or [p.sup.3] or pq where p, q are odd primes. We also prove Z[L.sub.n](m) has infinitely many S-zero divisors and S-weak zero divisors, where Z is the ring of integers. For any loop L we give conditions on L so that the loop ring [Z.sub.2]L has S-zero divisors and S-weak zero divisors. [section] 0. Introduction
More Books by Scientia Magna
The Existence of Solution for P(X)-Laplacian Equation with No Flux Boundary (Report)
2010
An Alternative Approach to the LP Problem with Equality Constraints (Report)
2008
On a Class of Q-Valent Meromorphic Functions with Positive Coefficients (Report)
2008
Smarandache Partitions.
2006
Palindrome Studies (Part I): the Palindrome Concept and Its Applications to Prime Numbers.
2006
A Note on Smarandache Number Related Triangles (Report)
2010