**Contemporary Mathematics**

Volume: 184;
1995;
449 pp;
Softcover

MSC: Primary 12; 16; 17; 18; 20;

**Print ISBN: 978-0-8218-0295-3
Product Code: CONM/184**

List Price: $88.00

AMS Member Price: $70.40

MAA Member Price: $79.20

**Electronic ISBN: 978-0-8218-7775-3
Product Code: CONM/184.E**

List Price: $83.00

AMS Member Price: $66.40

MAA Member Price: $74.70

# Second International Conference on Algebra

Share this page *Edited by *
*L. A. Bokut’; A. I. Kostrikin; S. S. Kutateladze*

This book contains papers presented at the Second International Conference on Algebra, held in Barnaul in August 1991 in honor of the memory of A. I. Shirshov (1921–1981). Many of the results presented here have not been published elsewhere in the literature. The collection provides a panorama of current research in PI-, associative, Lie, and Jordan algebras and discusses the interrelations of these areas with geometry and physics. Other topics in group theory and homological algebra are also covered.

#### Readership

Postgraduates and researchers in mathematics and physics.

# Table of Contents

## Second International Conference on Algebra

- Contents v6 free
- From the editors ix10 free
- Some results by A. I. Shirshov and his school 114 free
- Chevalley groups over commutative rings. Normal subgroups and automorphisms 1326
- Subring-Galois extensions and separability in noncommutative rings 2538
- Hopf algebras with Engel condition 3346
- On topologization of rings with infinite lower Baer radical 4356
- A new method for calculating p-blocks 4962
- Grothendieck groups and higher class groups of commutative invariants 5972
- On the annihilators of powers of elements in a ring of bounded nilpotency index 7588
- Betti numbers and free minimal resolutions 8194
- Operator algebras as partially ordered linear algebras 89102
- On mutations of Cayley-Dickson algebras 97110
- Torsion-free rings: Some results on automorphisms and endomorphisms 111124
- Morphisms of general algebras without fixed fundamental operations 117130
- Lifting primitivity of certain relatively free groups 139152
- Dimension subgroups: Some recent developments 147160
- New Galoisian and nonabelian cohomology in skew fields and applications 155168
- Generalized triangle groups and 3-dimensional orbifolds 185198
- 3-Characters are sufficient for the group determinant 193206
- On the Hochschild-Mitchell dimension of subsets of the reals 207220
- The monodromy genus of the Suzuki groups 215228
- On G-graded automorphisms of generalized Witt algebras 225238
- On the Fibonacci group and related topics 231244
- Linear recurrent sequences over Galois rings 237250
- Classification of simple I-graded Lie algebras of characteristic p 255268
- Supergravities and contact type structures on supermanifolds 267280
- Type and dimension of finitely generated G-algebras 275288
- Mal'tsev algebras and conservation laws 281294
- On the range of centralizing derivations 291304
- On some properties of super Lie elements in a free associative algebra 299312
- Symmetry groups of ideals on ω 305318
- Hochschild homology and cyclic homology of almost commutative algebras 317330
- Modules for Novikov algebras 327340
- Reducibility of chamber systems and factorizations of parabolic systems 339352
- ∃-Free groups and groups with length function 369382
- Prolongation structures for supersymmetric equations and application to the sKdV equation 377390
- p-Adic blocks with cyclic defect 391404
- Elements of degree 3 and 4 in division algebras 405418
- Mirrors on Riemann surfaces 411424
- An improvement on the Erdős bound for graphs of girth 16 419432
- Some remarks on hyperstructures 427440
- Some subregular germs for the p-adic Sp4(F) 433446
- Finiteness conditions in special Lie algebras 445458