Essentially Invertible Measurable Operators Affiliated to a Semifinite von Neumann Algebra and Commutators

Siberian Mathematical Journal - Suppose that a von Neumann operator algebra  $ {\mathcal{M}} $ acts on a Hilbert space  $ {\mathcal{H}} $ and $ \tau $...     

Locally Finite Groups with Prescribed Structure of Finite Subgroups

Siberian Mathematical Journal - Let  $ {\mathfrak{M}} $ be a set of finite groups. Given a group  $ G $ , denote the set of all subgroups of  $ G $...     

Nonlinear Mixed Jordan Triple $ * $ -Derivations on $ * $ -Algebras

Siberian Mathematical Journal - Let $ {\mathcal{A}} $ be a unital $ \ast $ -algebra containing a nontrivial projection. Under some mild conditions on  $ {\mathcal{A}} $ ,...     

De Rham’s Theorem for Orlicz Cohomology

Siberian Mathematical Journal - We prove that the de Rham $ L^{\phi} $ -cohomology of a Riemannian manifold $ M $ admitting a convenient triangulation $ X $ is isomorphic to the...     

Solution of Ponomarev’s Problem of Condensation onto Compact Sets

Siberian Mathematical Journal - Assuming the Continuum Hypothesis (CH), we prove that there exists a perfectly normal compact topological space  $ Z $ and a countable set...     

Intersections of Three Nilpotent Subgroups in a Finite Group

Siberian Mathematical Journal - We complete the proof of the theorem that any nilpotent subgroups  $ A $ , $ B $ , and  $ C $ of a finite group  $ G $ satisfy...     

On the Sharp Baer–Suzuki Theorem for the $ \pi $ -Radical: Sporadic Groups

Siberian Mathematical Journal - Let  $ \pi $ be a proper subset of the set of all primes and $ {|\pi|\geq 2} $ . Denote the smallest prime not in  $ \pi $ by  $...     

Heights of Minor Faces in 3-Polytopes

Siberian Mathematical Journal - Each 3-polytope has obviously a face  $ f $ of degree $ d(f) $ at most 5 which is called minor. The height $ h(f) $ of $ f $ is...     

Generalized Rickart $ \ast $ -Rings

Siberian Mathematical Journal - As a common generalization of Rickart $ \ast $ -rings and generalized Baer $ \ast $ -rings, we say that a ring  $ R $ with an involution ...     

Formulas for Calculating the $ 3j $ -Symbols of the Representations of the Lie Algebra $ {\mathfrak{gl}}_{3} $ for the Gelfand–Tsetlin Bases

Siberian Mathematical Journal - We give a simple explicit formula for an arbitrary $ 3j $ -symbol for the Lie algebra  $ {\mathfrak{gl}}_{3} $ . The symbol is...     

New Degree Spectra of Polish Spaces

Siberian Mathematical Journal - The main result is as follows: Fix an arbitrary prime $ q $ . A $ q $ -divisible torsion-free (discrete, countable) abelian group  $ G $ has a  $...     

Multivalued Quasimöbius Mappings from Circle to Circle

Siberian Mathematical Journal - We prove that if a multivalued mapping  $ F $ of circle to circle has the $ \eta $ -BAD property (bounded distortion of generalized angles with...     

On $ \sigma $ -Subnormality of Sylow Subgroups in a Finite Group

Siberian Mathematical Journal - Given an arbitrary partition  $ \sigma $ of the set of primes, we give some criteria for the $ \sigma $ -subnormality of a Sylow subgroup of...     

The Root-Class Residuality of the Fundamental Groups of Graphs of Groups

Siberian Mathematical Journal - Consider a class  $ \mathcal{C} $ of groups containing at least one nontrivial group and closed under subgroups, extensions, and Cartesian...     

Rings over Which Matrices Are Sums of Idempotent and $ q $ -Potent Matrices

Siberian Mathematical Journal - We study the rings over which each square matrix is the sum of an idempotent matrix and a  $ q $ -potent matrix. We also show that if  $ F $ is...     

A Semilattice of Degrees of Computable Metrics

Siberian Mathematical Journal - Under study is the ordering $ {\mathcal{CM}}_{c}({\mathbf{X}}) $ of $ c $ -degrees of computable metrics on a Polish space  $ {\mathbf{X}} $ with...     

The Root-Class Residuality of the Fundamental Groups of Certain Graphs of Groups with Central Edge Subgroups

Siberian Mathematical Journal - Consider a class  $ {\mathcal{C}} $ of groups which contains at least one nontrivial group and is closed under subgroups, extensions, and...     

On Possible Estimates of the Rate of Pointwise Convergence in the Birkhoff Ergodic Theorem

Siberian Mathematical Journal - We study the separation from zero of a sequence  $ \phi $ to obtain the estimates of the form $ {\phi(n)/n} $ for the rate of pointwise convergence...     

On the Range of the Quantization Dimension of Probability Measures on a Metric Compactum

Siberian Mathematical Journal - The quantization dimension of a probability measure on a metric compactum  $ X $ does not exceed the box dimension of the support of the measure....     

Finite Groups with Weakly Subnormal and Partially Subnormal Subgroups

Siberian Mathematical Journal - We study the influence of weakly subnormal and partially subnormal subgroups on the structure of a group  $ G $ . In particular, we prove that a...