Direct Sum on Semi-cohereditary Module Properties
Rizza Lestari

Institut Teknologi Bandung

Abstract

This thesis discusses results of finite direct sum of semi-cohereditary module. This study first discusses some properties of cohereditary and injective modules to see that this properties can be fulfilled by semi-hereditary and weakly injective module as well. Furthermore, this paper discussed the finite direct sum results of semi-cohereditary module, whether the results is also a semi-hereditary module or not. Then a properties comparison table is given for hereditary and cohereditary modules, as well as properties comparison table of semi-hereditary and semi-cohereditary modules.

Keywords: cohereditary module, injective module, semi-cohereditary module, weakly injective module, direct sum

Topic: MATHEMATICS AND STATISTICS