No description available.

No description available.

Thesis (Ph. D.)--University of Chicago, Dept. of Mathematics, June 2000. / Includes bibliographical references. Also available on the Internet.

Three topics in localization theory and group ring theory are investigated. In Chapter I, it is proved that every symmetric kernel functor in a left Noetherian ring is induced by a prime ideal. A sufficient condition for the ring of quotients with respect to a prime kernel functor to be semi-simple Artinian is found. &n analogous result for guasi-prime kernel functors is obtained in Section 5. In Chapter II, the idea of controlling subgroups is applied to group ring localization. Some sufficient conditions for the descent of the maximal ring of quotients and of the classical ring of quotients are obtained in Section 8. In Chapter III, characterizations of group rings, over nilpotent groups of transfinitely bounded cardinality, whose left global dimension is finite are obtained. As an application, this homological result is used to get information on the torsion elements of an M-group. / Science, Faculty of / Mathematics, Department of / Graduate

No description available.

No description available.

Thesis (Ph.D.)--Tufts University, 2004. / Adviser: Loring W. Tu. Submitted to the Dept. of Mathematics. Includes bibliographical references (leaves 43-45). Access restricted to members of the Tufts University community. Also available via the World Wide Web;

Thesis (Ph. D.)--University of North Texas, Dec., 2007. / Title from title page display. Includes bibliographical references.

Typescript. Includes vita and abstract. Includes bibliographical references (leaves 33-34) Also available online in Scholars' Bank; and in ProQuest, free to University of Oregon users.

Thesis (Ph.D.)--Hong Kong University of Science and Technology, 2006. / Includes bibliographical references (leaves 83-97). Also available in electronic version.