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The Goldie Theorem for H-semiprime algebrasThe main result states that, under certain assumptions about a Hopf algebra H, every H
Existence of the n-th root in finite-dimensional power-associative algebras over reals algebras over R: Necessary and sufficient conditions for the existence of the n-th root in a power
Inequality for a trace on a unital C*-algebra© 2016, Pleiades Publishing, Ltd.A new inequality for a trace on a unital C*-algebra is established
Minimality of convergence in measure topologies on finite von Neumann algebrasWe prove that the natural embedding of the metric ideal space on a finite von Neumann algebra M
Semilocal group algebrasLet k[G] be a semilocal group algebra. It is shown that if k is an algebraically closed field
Homologically trivial Frechet algebras algebras. Also, we characterize biprojective Frechet algebras in terms of derivations and multipliers
C*-Algebras Generated by Mappings. Criterion of Irreducibility© 2018, Allerton Press, Inc. We study the operator algebra associated with a self-mapping ϕ on a
Triangulation of n-tuple solvable lie algebrasWe prove an analog of the Lie theorem for finite-dimensional n-tuple solvable Lie algebras over
Subrings of Invariants for Actions of Finite-Dimensional Hopf AlgebrasThis paper is a survey of recent works on invariants of actions of Hopf algebras. Its highlights
On the nilpotency and decomposition of Lie-type algebrasIn the paper, an analog of the Engel theorem for graded algebras admitting a Lie-type module
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