**Contemporary Mathematics**

Volume: 131;
1992;
704 pp;
Softcover

MSC: Primary 00; 03; 06; 08; 12; 13; 14; 16; 17; 18; 20; 22; 51;
Secondary 05; 11; 15; 19; 53

**Print ISBN: 978-0-8218-5137-1
Product Code: CONM/131.2**

List Price: $108.00

AMS Member Price: $86.40

MAA Member Price: $97.20

**Electronic ISBN: 978-0-8218-7721-0
Product Code: CONM/131.2.E**

List Price: $101.00

AMS Member Price: $80.80

MAA Member Price: $90.90

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# Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal\(’\)cev

Share this page *Edited by *
*L. Bokut; A. I. Kostrikin; Yu. L. Ershov*

# Table of Contents

## Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal$'$cev

- Contents: Part 2 ix10 free
- Foreword xvii18 free
- Introduction xix20 free
- Brief Scientific Contents of Plenary Reports xxiii24 free
- Section 3–Lie algebras 128 free
- Structure Constants of Simple Lie Algebras 330
- Quartic Cayley Algebras and Some Lie Algebras of Type D4 1542
- Gelfand-Zetlin Modules Over Lie Algebra SL(3) 2350
- Cohomology and Nonsplit Extensions of Modular Lie Algebras 3158
- The Parabolic Subsets of Root System and Corresponding Representations of Affine Lie Algebras 4572
- The Word Problem for Solvable Groups and Lie Algebras, a Boundary between Solvability and Unsolvability 5380
- Simple Lie Algebras in Characteristic 2 Recovered from Superalgebras and on the Notion of a Simple Finite Group 5986
- Lattices of Subalgebras of Solvable Lie Algebras 6996
- The Composition Lemma for Color Lie Superalgebras and for Lie P-Superalgebras 91118
- The Structure of Lie Algebras of Prime Characteristic 105132
- New Examples of Continuum Graded Lie Algebras 123150
- Structurable Algebras 135162
- Analogues of Finite-Dimensional Representations of Infinite-Dimensional Classical Lie Algebras 149176
- Simple Volichenko Algebras 155182
- Lie Algebras Having a Modular Subalgebra which is Either a Modular Lie Algebra or Simple of Rank One 161188
- Identities of Algebras and their Representations 173200

- Section 4–Rings 193220
- A Relationship between Gröbner Bases of Ideals and Vector Modules of G-Algebras 195222
- Intersection Property in the Radical Theory of Topological Algebras 205232
- Projective Modules and Groups of Invertible Matrices over Crossed Products 227254
- Tame Posets with Equivalence Relation 237264
- Noncommutative Prüfer and Valuation Rings 253280
- Rank Functions on Projective Modules over Rings 271298
- K-Theory of Rings with Idempotents 279306
- Relations for the Cocharacter Sequences of T-Ideals 285312
- Representations of Bocses and Algebras 301328
- Tame and Wild Subspace Problems 317344
- Normal g.p.p. Rings with Köthe Radical 327354
- Partial Tilting Modules and Recollement 345372
- Endomorphisms and Invariance of Radicals of Rings 363390
- From Representations of Quivers via Hall and Loewy Algebras to Quantum Groups 381408
- On Regular Rings 403430
- Trace Identities of Matrix Superalgebras with Involution 413440

- Section 5–Fields and Skew Fields/Differential Algebras 433460
- Finte Groups as Galois Groups over Arbitrary Fields 435462
- A Problem on Differential Polynomials 449476
- Multiply Pseudo-P-Adically Closed Fields 463490
- Dimension Polynomials of Filtered Differential G-Modules and Extensions of Differential G-Fields 469496
- Classification of Wild Cyclic Field Extensions and Division Algebras of Prime Degree over a Henselian Field 491518
- Topological Fields—Results and Problems 509536
- On the Defect of Valued Division Algebras 519546
- Irreducible Polynomials Over Local Fields and Higher Ramification in Local Langlands Theory 529556

- Section 6–Nonassociative Rings 565592
- On the Valuations of Algebraic Division Rings over Global Fields 567594
- Periodic Jordan Rings of Characteristic Two 575602
- Generic Norms I 587614
- Proving (x, x, x, ) = 0 605632
- Prime Rings in the Join of Alternative and (–1, 1) Rings 613640
- Jordan Triple Systems: Insights and Ignorance 625652
- On the Structure of Mal'cev-Admissible Algebras 639666
- Quadratic Differential Equations and Algebras 659686
- Composition Algebras over the Projective Line 673700
- Polynomial Identities of Jordan Algebras 679706
- Simple and Semisimple Structurable Algebras 685712
- Left Jordan Rings 695722
- Algorithmic Properties of Free Rings 701728