Three Papers on Algebras and Their Representations
Three Papers on Algebras and Their Representations

Author: V. N. Gerasimov

Publisher: American Mathematical Soc.

Published: 1993

Total Pages: 226

ISBN-13: 9780821875032

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This book contains the doctoral dissertations of three students from Novosibirsk who participated in the seminar of L. A. Bokut'. The dissertation of Gerasimov focuses on Cohn's theory of noncommutative matrix localizations. Gerasimov presents a construction of matrix localization that is not directly related to (prime) matrix ideals of Cohn, but rather deals with localizations of arbitrary subsets of matrices over a ring. The work of Valitskas applies ideas and constructions of Gerasimov to embeddings of rings into radical rings (in the sense of Jacobson) to develop a theory essentially parallel to Cohn's theory of embeddings of rings into skew fields. Nesterenko's dissertation solves some important problems of Anan'in and Bergman about representations of (infinite-dimensional) algebras and categories in (triangular) matrices over commutative rings.

Proceedings of the St. Petersburg Mathematical Society, Volume I
Proceedings of the St. Petersburg Mathematical Society, Volume I

Author: O. A. Ladyzhenskaya Anatoli_ Moiseevich Vershik

Publisher: American Mathematical Soc.

Published: 1993-03-22

Total Pages: 244

ISBN-13: 9780821895900

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This is the inaugural volume of a new book series published under the auspices of the St. Petersburg Mathematical Society. The book contains contributions by some of the leading mathematicians in St. Petersburg. Ranging over a wide array of topics, these papers testify to the diverse interests and productive mathematical life of the St. Petersburg Mathematical Society.

Second Siberian Winter School "Algebra and Analysis"
Second Siberian Winter School

Author: Igorʹ Aleksandrovich Aleksandrov

Publisher: American Mathematical Soc.

Published: 1992

Total Pages: 156

ISBN-13: 9780821831427

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This book, the second in the series of porceedings of Soviet Regional Conferences, contains papers presented at the Second Siberian Winter School; Algebra and Analysis, held at Tomsk State University in 1989. The papers touch on a variety of topics, including Lie algebras and Lie groups, sheaves, and automorphic forms.

Wave propagation. Scattering theory
Wave propagation. Scattering theory

Author: M. Sh Birman

Publisher: American Mathematical Soc.

Published: 1993-12-20

Total Pages: 274

ISBN-13: 9780821895917

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The papers in this collection were written primarily by members of the St. Petersburg seminar in mathematical physics. The seminar, now run by O. A. Ladyzhenskaya, was initiated in 1947 by V. I. Smirnov, to whose memory this volume is dedicated. The papers in the collection are devoted mainly to wave propagation processes, scattering theory, integrability of nonlinear equations, and related problems of spectral theory of differential and integral operators. The book is of interest to mathematicians working in mathematical physics and differential equations, as well as to physicists studying various wave propagation processes.