Conference held at Akademgorodok, Novosibirsk, USSR, Aug. 21-26, 1989.

Includes bibliographical references.

Structure constants of simple Lie algebras / R. �Z. Aleev -- Quartic Cayley algebras and some Lie algebras of type $D_4$ / B. N. Allison -- Gelfand-Zetlin modules over Lie algebra ${\rm SL}(3)$ / Yu. A. Drozd, S. A. Ovsienko and V. M. Futorny -- Cohomology and nonsplit extensions of modular Lie algebras / A. S. Dzhumadildaev -- The parabolic subsets of root system and corresponding representations of affine lie algebras / V. M. Futorny -- The word problem for solvable groups and Lie algebras, a boundary between solvability and unsolvability / O. Kharlampovich -- Simple Lie algebras in characteristic $2$ recovered from superalgebras and on the notion of a simple finite group / Yuri Kochetkov and Dimitry Leites -- Lattices of subalgebras of solvable Lie algebras / A. A. La�shi -- The composition lemma for color Lie superalgebras and for Lie $p$-superalgebras / A. A. Mikhal�ev -- The structure of Lie algebras of prime characteristic / J. Marshall Osborn -- New examples of continuum graded Lie algebras / M. V. Saveliev and A. M. Vershik -- Structurable algebras / R. D. Schafer -- Analogues of finite-dimensional representations of infinite-dimensional classical Lie algebras / George B. Seligman -- Simple Volichenko algebras / V. Serganova -- Lie algebras having a modular subalgebra which is either a modular Lie algebra or simple of rank one / Vicente R. Varea -- Identities of algebras and their representations / Yu. P. Razmyslov -- A relationship between Gr�obner bases of ideals and vector modules of $G$-algebras / Joachim Apel -- Intersection property in the radical theory of topological algebras / V. I. Arnautov, C. I. Beidar, S. T. Glavatsky and A. V. Mikhal�ev -- Projective modules and groups of invertible matrices over crossed products / V. A. Artamonov -- Tame posets with equivalence relation / V. M. Bondarenko and A. G. Zavadskij -- Noncommutative Pr�ufer and valuation rings / H.-H. Brungs and J. Gr�ater -- Rank functions on projective modules over rings / P. M. Cohn -- $K$-theory of rings with idempotents / A. A. Davydov -- Relations for the cocharacter sequences of $T$-ideals / Vesselin Drensky -- Representations of bocses and algebras / Yu. A. Drozd -- Normal g.p.p. rings with K�othe radical / R. Gonchigdorzh -- Partial tilting modules and recollement / Dieter Happel -- Endomorphisms and invariance of radicals of rings / V. Mushrub -- From representations of quivers via Hall and Loewy algebras to quantum groups / Claus Michael Ringel -- On regular rings / D. V. Tjukavkin -- Trace identities of matrix superalgebras with involution / A. A. Zolotykh -- Finite groups as Galois groups over arbitrary fields / C. U. Jensen -- A problem on differential polynomials / E. R. Kolchin -- Multiply pseudo-$p$-adically closed fields / Urs-Martin K�unzi -- Dimension polynomials of filtered differential $G$-modules and extensions of differential $G$-fields / A. B. Levin and A. V. Mikhal�ev -- Classification of wild cyclic field extensions and division algebras of prime degree over a Henselian field / J.-P. Tignol -- Topological fields -- results and problems / Witold Wi�es�aw -- On the defect of valued division algebras / V. I. Yanchevski�i -- Irreducible polynomials over local fields and higher ramification in local Langlands theory / Ernst-Wilhelm Zink -- On the valuations of algebraic division rings over global fields / I. D. Chipchakov -- Periodic Jordan rings of characteristic two / S. Gonz�alez and C. Mart�inez -- Generic norms. I / N. Jacobson -- Proving $(x,x,x)=0$ / Erwin Kleinfeld -- Prime rings in the join of alternative and $(-1,1)$ rings / E. Kleinfeld and H. F. Smith -- Jordan triple systems: insights and ignorance / Kevin McCrimmon -- On the structure of Malcev-admissible algebras / Hyo Chul Myung and Arthur A. Sagle --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.