Complements in R-Mod - by Mona Mohammad Tawfic Khalifeh
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Abstract
An in tersection complement of a submodule A of an R- module M is a maximal member of the family of submodules X of M such that A n X = 0. An easy applicati on of Zorn's Lemma shows that intersection complements exist in R- mod for every ri ng R. Dually,
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Thesis (M.S.)--Dept. of Mathematics, AUB, 2004.;"Advisor: Dr. Azmi Hanna , Professor, Mathematics--Member of Committee: Dr. Hazar Abu-Khuzam, Professor, Mathematics--Member of Committee: Dr. Nazih Nahlus, Professor, Mathematics"
Bibliography: leaf 49.
Bibliography: leaf 49.