Volume no :11, Issue no: 1, September (2011)

Journal of Mathematical Sciences: Advances and Applications

ZERO-DIVISOR GRAPHS OF IDEALIZATIONS WITH RESPECT TO PRIME SEMIMODULES

Author's: F. FARZALIPOUR and P. GHIASVAND
Pages: [1] - [9]
Received Date: July 15, 2011, Revised September 24, 2011
Submitted by:

Abstract

Let R be a commutative semiring with identity and M be a prime R-semimodule. Let be the idealization of the semiring R by the P-prime R-semimodule M. We study the diameter and girth of the zero-divisor graph of the semiring

Keywords

graph, prime, semiring, semimodule.