IJPAM: Volume 97, No. 1 (2014)
PSEUDO PRIME AND STRICTLY NON-PRIME COMPONENTS
Department of Mathematics
Department of Mathematics and Statistics
Jordan University of Science and Technology
Abstract. Let be a group. Let be a commutative -graded ring, be a graded -module and be a graded -submodule of . In this paper, we study some cases when is strongly graded ring and the component of is strictly non-prime, pseudo prime or pseudo irreducible -submodule. For example, we prove that if is strongly graded, the components of are multiplication and is pseudo irreducible, then is pseudo prime for all .
Received: June 5, 2014
AMS Subject Classification: 13A02, 16W50
Key Words and Phrases: graded modules, pseudo prime graded submodules, multiplication modules
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DOI: 10.12732/ijpam.v97i1.4 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 31 - 35