Conference held at Akademgorodok, Novosibirsk, USSR, Aug. 2126, 1989.

Includes bibliographical references.

Structure constants of simple Lie algebras ; Quartic Cayley algebras and some Lie algebras of type _4 ; GelfandZetlin modules over Lie algebra rm 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 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 uperalgebras ; The structure of Lie algebras of prime characteristic ; New examples of continuum graded Lie algebras ; Structurable algebras ; Analogues of finitedimensional representations of infinitedimensional classical Lie algebras ; Simple Volichenko algebras ; Lie algebras having a modular subalgebra which is either a modular Lie algebra or simple of rank one ; Identities of algebras and their representations ; A relationship between Grobner bases of ideals and vector modules of lgebras ; Intersection property in the radical theory of topological algebras ; Projective modules and groups of invertible matrices over crossed products ; Tame posets with equivalence relation ; Noncommutative Prufer and valuation rings ; Rank functions on projective modules over rings ; heory of rings with idempotents ; Relations for the cocharacter sequences of deals ; Representations of bocses and algebras ; Normal g.p.p. rings with Kothe radical ; Partial tilting modules and recollement ; Endomorphisms and invariance of radicals of rings ; From representations of quivers via Hall and Loewy algebras to quantum groups ; On regular rings ; Trace identities of matrix superalgebras with involution ; Finite groups as Galois groups over arbitrary fields ; A problem on differential polynomials ; Multiply pseudo dically closed fields ; Dimension polynomials of filtered differential odules and extensions of differential ields ; 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 ; On the valuations of algebraic division rings over global fields ; Periodic Jordan rings of characteristic two ; Generic norms. I ; Proving x,x,x)=0 ; Prime rings in the join of alternative and 1,1) rings ; Jordan triple systems: insights and ignorance ; On the structure of Malcevadmissible algebras R Z Aleev ; B N Allison ; Yu A Drozd S A Ovsienko and V M Futorny ; A S Dzhumadildaev ; V M Futorny ; O Kharlampovich ; Yuri Kochetkov and Dimitry Leites ; A A Lashi ; A A Mikhalev ; J Marshall Osborn ; M V Saveliev and A M Vershik ; R D Schafer ; George B Seligman ; V Serganova ; Vicente R Varea ; Yu P Razmyslov ; Joachim Apel ; V I Arnautov C I Beidar S T Glavatsky and A V Mikhalev ; V A Artamonov ; V M Bondarenko and A G Zavadskij ; HH Brungs and J Grater ; P M Cohn ; A A Davydov ; Vesselin Drensky ; Yu A Drozd ; R Gonchigdorzh ; Dieter Happel ; V Mushrub ; Claus Michael Ringel ; D V Tjukavkin ; A A Zolotykh ; C U Jensen ; E R Kolchin ; UrsMartin Kunzi ; A B Levin and A V Mikhalev ; JP Tignol ; Witold Wiesaw ; V I Yanchevskii ; ErnstWilhelm Zink ; I D Chipchakov ; S Gonzalez and C Martinez ; N Jacobson ; Erwin Kleinfeld ; E Kleinfeld and H F Smith ; Kevin McCrimmon ; Hyo Chul Myung and Arthur A Sagle