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.
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978-0-8218-0295-3 (9780821802953)
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Schweitzer Klassifikation
Some results by A. I. Shirshov and his school by L. A. Bokut and I. P. Shestakov Chevalley groups over commutative rings. Normal subgroups and automorphisms by E. Abe Subring-Galois extensions and separability in noncommutative rings by R. Alfaro Hopf algebras with Engel condition by V. A. Artamonov On topologization of rings with infinite lower Baer radical by K. I. Beidar and A. V. Mikhalev A new method for calculating $p$-blocks by V. A. Belonogov Grothendieck groups and higher class groups of commutative invariants by K. A. Brown and M. Lorenz On the annihilators of powers of elements in a ring of bounded nilpotency index by J. Clark Betti numbers and free minimal resolutions by T. De Alwis Operator algebras as partially ordered linear algebras by R. DeMarr and J. Torres On mutations of Cayley-Dickson algebras by A. Elduque and H. C. Myung Torsion-free rings: Some results on automorphisms and endomorphisms by M. D. Friger Morphisms of general algebras without fixed fundamental operations by K. Glazek Lifting primitivity of certain relatively free groups by C. K. Gupta Dimension subgroups: Some recent developments by N. Gupta New Galoisian and nonabelian cohomology in skew fields and applications by M. Hacque Generalized triangle groups and $3$-dimensional orbifolds by M. A. Hagelberg $3$-Characters are sufficient for the group determinant by H.-J. Hoehnke and K. W. Johnson On the Hochschild-Mitchell dimension of subsets of the reals by A. A. Husainov The monodromy genus of the Suzuki groups by G. A. Jones and S. A. Silver On $G$-graded automorphisms of generalized Witt algebras by N. Kawamoto On the Fibonacci group and related topics by A. C. Kim Linear recurrent sequences over Galois rings by A. S. Kuzmin and A. A. Nechaev Classification of simple $1$-graded Lie algebras of characteristic $p$ by M. I. Kuznetsov Supergravities and contact type structures on supermanifolds by D. Leites and E. Poletaeva Type and dimension of finitely generated $G$-algebras by A. B. Levin and A. V. Mikhalev Maltsev algebras and conservation laws by J. Lohmus, E. Paal, and L. Sorgsepp On the range of centralizing derivations by M. Mathieu On some properties of super Lie elements in a free associative algebra by A. A. Mikhalev Symmetry groups of ideals on $\omega$ by V. Mishkin Hochschild homology and cyclic homology of almost commutative algebras by P. Nuss Modules for Novikov algebras by J. M. Osborn Reducibility of chamber systems and factorizations of parabolic systems by A. Pasini $\exists$-Free groups and groups with length function by V. N. Remeslennikov Prolongation structures for supersymmetric equations and application to the sKdV equation by M. Roelofs $p$-Adic blocks with cyclic defect by K. W. Roggenkamp Elements of degree $3$ and $4$ in division algebras by L. H. Rowen Mirrors on Riemann surfaces by D. Singerman An improvement on the Erdos bound for graphs of girth $16$ by V. A. Ustimenko and A. J. Woldar Some remarks on hyperstructures by T. Vougiouklis Some subregular germs for the $p$-adic $\mathrm {Sp}_4(F)$ by K. Yangkohn Finiteness conditions in special Lie algebras by M. V. Zaitsev.
