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Proceedings of the International Conference on Algebra : dedicated to the memory of A.I. Mal'cev. Part 2 / L.A. Bokut', Yu. L. Ershov, A.I. Kostrikin, editors.
- Format:
- Book
- Conference/Event
- Conference Name:
- International Conference on Algebra (1989 : Akademgorodok, Novosibirsk, Russia), issuing body.
- Series:
- Contemporary mathematics (American Mathematical Society) ; v. 131.
- Contemporary mathematics, 0271-4132 ; 131
- Language:
- English
- Subjects (All):
- Algebra--Congresses.
- Algebra.
- Physical Description:
- 1 online resource (734 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [1992]
- Language Note:
- English
- Summary:
- In August 1989, more than 700 Soviet algebraists and more than 200 foreign mathematicians convened in Novosibirsk in the former Soviet Union for the International Conference on Algebra. Dedicated to the memory of A. I. Mal'cev, the great Russian algebraist and logician, the conference marked the first time since the International Congress of Mathematicians was held in Moscow in 1966 that Soviet algebraists could meet with a large number of their foreign colleagues. This volume contains the proceedings from this historic conference. Some of the Soviet contributions to this volume are not easily available from other sources. Some of the major figures in the field, including P. M. Cohn, P. Gabriel, N. Jacobson, E. R. Kolchin, and V. Platonov, contributed to this volume. The papers span a broad range of areas including groups, Lie algebras, associative and nonassociative rings, fields and skew fields, differential algebra, universal algebra, categories, combinatorics, logic, algebraic geometry, geometry, topology, and mathematical physics.
- Contents:
- ""Contents: Part 2""; ""Foreword""; ""Introduction""; ""Brief Scientific Contents of Plenary Reports""; ""Section 3�Lie algebras""; ""Structure Constants of Simple Lie Algebras""; ""Quartic Cayley Algebras and Some Lie Algebras of Type D4""; ""Gelfand-Zetlin Modules Over Lie Algebra SL(3)""; ""Cohomology and Nonsplit Extensions of Modular Lie Algebras""; ""The Parabolic Subsets of Root System and Corresponding Representations of Affine Lie Algebras""; ""The Word Problem for Solvable Groups and Lie Algebras, a Boundary between Solvability and Unsolvability""
- ""Simple Lie Algebras in Characteristic 2 Recovered from Superalgebras and on the Notion of a Simple Finite Group""""Lattices of Subalgebras of Solvable Lie Algebras""; ""The Composition Lemma for Color Lie Superalgebras and for Lie P-Superalgebras""; ""The Structure of Lie Algebras of Prime Characteristic""; ""New Examples of Continuum Graded Lie Algebras""; ""Structurable Algebras""; ""Analogues of Finite-Dimensional Representations of Infinite-Dimensional Classical Lie Algebras""; ""Simple Volichenko Algebras""
- ""Finte Groups as Galois Groups over Arbitrary Fields""""A Problem on Differential Polynomials""; ""Multiply Pseudo-P-Adically Closed Fields""; ""Dimension Polynomials of Filtered Differential G-Modules and Extensions of Differential G-Fields""; ""Classification of Wild Cyclic Field Extensions and Division Algebras of Prime Degree over a Henselian Field""; ""Topological Fields�Results and Problems""; ""On the Defect of Valued Division Algebras""; ""Irreducible Polynomials Over Local Fields and Higher Ramification in Local Langlands Theory""; ""Section 6�Nonassociative Rings""
- ""On the Valuations of Algebraic Division Rings over Global Fields""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on online resource; title from PDF title page (ebrary, viewed May 23, 2014).
- ISBN:
- 0-8218-7721-6
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