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Second International Conference on Algebra
Edited by: L. A. Bokut', A. I. Kostrikin, and S. S. Kutateladze
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Contemporary Mathematics
1995; 449 pp; softcover
Volume: 184
ISBN-10: 0-8218-0295-X
ISBN-13: 978-0-8218-0295-3
List Price: US$79
Member Price: US$63.20
Order Code: CONM/184
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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

  • L. A. Bokut' and I. P. Shestakov -- Some results by A. I. Shirshov and his school
  • E. Abe -- Chevalley groups over commutative rings. Normal subgroups and automorphisms
  • R. Alfaro -- Subring-Galois extensions and separability in noncommutative rings
  • V. A. Artamonov -- Hopf algebras with Engel condition
  • K. I. Beidar and A. V. Mikhalëv -- On topologization of rings with infinite lower Baer radical
  • V. A. Belonogov -- A new method for calculating \(p\)-blocks
  • K. A. Brown and M. Lorenz -- Grothendieck groups and higher class groups of commutative invariants
  • J. Clark -- On the annihilators of powers of elements in a ring of bounded nilpotency index
  • T. De Alwis -- Betti numbers and free minimal resolutions
  • R. DeMarr and J. Torres -- Operator algebras as partially ordered linear algebras
  • A. Elduque and H. C. Myung -- On mutations of Cayley-Dickson algebras
  • M. D. Friger -- Torsion-free rings: Some results on automorphisms and endomorphisms
  • K. Głazek -- Morphisms of general algebras without fixed fundamental operations
  • C. K. Gupta -- Lifting primitivity of certain relatively free groups
  • N. Gupta -- Dimension subgroups: Some recent developments
  • M. Hacque -- New Galoisian and nonabelian cohomology in skew fields and applications
  • M. A. Hagelberg -- Generalized triangle groups and \(3\)-dimensional orbifolds
  • H.-J. Hoehnke and K. W. Johnson -- \(3\)-Characters are sufficient for the group determinant
  • A. A. Husainov -- On the Hochschild-Mitchell dimension of subsets of the reals
  • G. A. Jones and S. A. Silver -- The monodromy genus of the Suzuki groups
  • N. Kawamoto -- On \(G\)-graded automorphisms of generalized Witt algebras
  • A. C. Kim -- On the Fibonacci group and related topics
  • A. S. Kuzmin and A. A. Nechaev -- Linear recurrent sequences over Galois rings
  • M. I. Kuznetsov -- Classification of simple \(1\)-graded Lie algebras of characteristic \(p\)
  • D. Leites and E. Poletaeva -- Supergravities and contact type structures on supermanifolds
  • A. B. Levin and A. V. Mikhalëv -- Type and dimension of finitely generated \(G\)-algebras
  • J. Lôhmus, E. Paal, and L. Sorgsepp -- Mal'tsev algebras and conservation laws
  • M. Mathieu -- On the range of centralizing derivations
  • A. A. Mikhalëv -- On some properties of super Lie elements in a free associative algebra
  • V. Mishkin -- Symmetry groups of ideals on \(\omega\)
  • P. Nuss -- Hochschild homology and cyclic homology of almost commutative algebras
  • J. M. Osborn -- Modules for Novikov algebras
  • A. Pasini -- Reducibility of chamber systems and factorizations of parabolic systems
  • V. N. Remeslennikov -- \(\exists\)-Free groups and groups with length function
  • M. Roelofs -- Prolongation structures for supersymmetric equations and application to the sKdV equation
  • K. W. Roggenkamp -- \(p\)-Adic blocks with cyclic defect
  • L. H. Rowen -- Elements of degree \(3\) and \(4\) in division algebras
  • D. Singerman -- Mirrors on Riemann surfaces
  • V. A. Ustimenko and A. J. Woldar -- An improvement on the Erdős bound for graphs of girth \(16\)
  • T. Vougiouklis -- Some remarks on hyperstructures
  • K. Yangkohn -- Some subregular germs for the \(p\)-adic \(\mathrm {Sp}_4(F)\)
  • M. V. Zaĭtsev -- Finiteness conditions in special Lie algebras
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