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This volume consists of a collection of invited papers on the
theory of rings and modules, most of which were presented at the
biennial Ohio State - Denison Conference, May 1992, in memory of
Hans Zassenhaus. The topics of these papers represent many modern
trends in Ring Theory. The wide variety of methodologies and
techniques demonstrated will be valuable in particular to young
researchers in the area. Covering a broad range, this book should
appeal to a wide spectrum of researchers in algebra and number
theory.
The volume contains selected articles presented in the ZOOM
conference on History of Mathematics in Jain Literature, December
2020, and also contains articles invited by the editors on specific
topics.The main objective for the conference was to bring to the
attention of historians in mathematics that there is a plenty of
literature written by monks and scholars in Jaina literature that
contains elements of arithmetic, algebra and geometry, independent
of discoveries by other cultures in the past. The talks and the
discussions at the conference highlighted a need for a volume that
can be recommended as a reference book for a course on History of
Mathematics in the Departments of Mathematics and Education in
colleges and universities. This is our hope that the present volume
would fill up the gap on the lack of knowledge of past Jaina
contributions.
The papers of this volume share as a common goal the structure and
classi- fication of noncommutative rings and their modules, and
deal with topics of current research including: localization,
serial rings, perfect endomorphism rings, quantum groups, Morita
contexts, generalizations of injectivitiy, and Cartan matrices.
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