The basic theorems of linear algebra may greatly fail over general rings. However, in certain classes of rings, some theorems do survive. For example, every commutative ring satisfies the strong rank condition. That is, if R to the power m is embedded in
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Thesis (M.S.)--American University of Beirut, Dept. of Mathematics, 2010.;"Advisor : Dr Nahlus Nazih Professor, Mathematics--Member of Committee : Dr AbuKhuzam Hazar Professor, Mathematics--Member of Committee : Dr El - Khoury Sabine Assistant Professo
