Mathematical Sciences: Localization in Serial Rings

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This project is concerned with finding a unifying structure theory for serial rings with arbitrary Krull dimension. Noncommutative localization will be used to determine this structure. These results will then be used to study broader classes of rings. This project is in the general area of ring theory. A ring is an algebraic structure with an addition and a multiplication defined on it. These objects are important in many areas of mathematics as well as physics. This particular project is concerned with finding elements which have a multicative inverse.