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On the space of maximal submodules of multiplication mo dules | ||
| Journal of College of Education | ||
| Article 1, Volume 0, Issue 3, 2017, Pages 125-131 | ||
| Authors | ||
| Hobeeb Koreem Abduilsh; Sattar Hameed AL-Jan; Esam Refeeq | ||
| Abstract | ||
| The main purpose of this paper is to study the algebraic properties of a multiplication R-module Mwhenever the space lvla{fuL) of all maximal submodules of M is an irreducible space . We prove that Mar(lul) is irreducible if and only if the Jacobson radical J(0) of tvI is prime and if J(0)=0then Max(M) is irreducible if and only if I/is irreducible.Also we investigate the relation between Mar(M and Mar( R) if one of them is irreducible. | ||
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