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 $S$-algebras and Harish-Chandra modules over symmetric Lie algebrasD. P. Zhelobenko 659 Prime alternative superalgebras and the nilpotence of the radical of a free alternative algebraE. I. Zel'manov, I. P. Shestakov 676 Trace identities of matrix superalgebras with an involutionA. A. Zolotykh 694 Identities of finitely generated algebras over an infinite fieldA. R. Kemer 726 Asymptotic solution of variational inequalities for a linear operator with a small parameter on the highest derivativesS. A. Nazarov 754 On a system of equations describing surface wavesP. I. Naumkin, I. A. Shishmarev 774 Algebraic three-folds and the diagram methodV. V. Nikulin 810 K3 surfaces over number fields and the Mumford–Tate conjectureS. G. Tankeev 846 Spirals of period 4 and equations of Markov typeD. Yu. Nogin 862 Geometry of invariant manifolds of a gyroscope in the field of a quadratic potentialA. I. Zhivkov 879 Letter to the editorsA. V. Pozhidaev, V. V. Yurinskii 894