SUPPLEMENTS IN COATOMIC MODULES HAVING THE COMPLETE MAX-PROPERTY

Authors : Mame Demba CİSSE, Lamine NGOM, Djiby SOW, Rachid TRİBAK

Pages : 18-30

Doi:10.24330/ieja.440141

View : 18 | Download : 13

Publication Date : 2018-07-05

Article Type : Research Paper

Abstract :Let R be a ring with identity. A right R-module M has the com- plete max-property if the maximal submodules of M are completely coindepen- dent insert ignore into journalissuearticles values(i.e., every maximal submodule of M does not contain the intersection of the other maximal submodules of M);. A right R-module is said to be a good module provided every proper submodule of M containing Radinsert ignore into journalissuearticles values(M); is an intersection of maximal submodules of M. We obtain a new characterization of good modules. Also, we study good modules which have the complete max- property. The second part of this paper is devoted to investigate supplements in a coatomic module which has the complete max-property.
Keywords : Coatomic module, completely coindependent, complete max property, good module, maximal submodule