Известно, что простая область Безу является областью элементарных делителей тогда и только тогда, когда она 2-простая. В работе доказано, что над 2-простой областью Орэ стабильного ранга 1 произвольная матрица, не являющаяся ...
The idea of considering the second fundamental form of a hypersurface as the first fundamental form of another hypersurface has found very useful applications in Riemannian and semi-Riemannian geometry, especially when ...
Motivated by the formula, we investigate factorizations of the lower-triangular Toeplitz matrix with (i; j )th entry equal to x i−j via the Pascal matrix. In this way, a new computational approach to the generalization of ...
We consider an admissible estimator for the rth power of a scale parameter that is lower or upper bounded in a subclass of the scale-parameter exponential family under the entropy loss function. An admissible estimator for ...
We consider an admissible estimator for the rth power of a scale parameter that is lower or upper bounded in a subclass of the scale-parameter exponential family under the entropy loss function. An admissible estimator for ...
Let G be a finite solvable group and let χ be a nonlinear irreducible (complex) character of G. Also let η (χ) be the number of nonprincipal irreducible constituents of χχ, where χ denotes the complex conjugate of χ. ...
Let G be an arbitrary FC-group, let R be its locally soluble radical, and let L/R = L(G/R). We prove that, for N ⊲ G, G/N is residually finite if R ⊆ N ⊆ L.
The object of the present paper is to study invariant submanifolds of a (k, μ)-contact manifold and to find the necessary and sufficient conditions for an invariant submanifold of a (k, μ)-contact manifold to be totally geodesic.
Very recently Deo, in the paper “Simultaneous approximation by Lupas operators with weighted function of Szasz operators” [J. Inequal. Pure Appl. Math., 5, No. 4 (2004)] claimed to introduce the integral modifications of ...
Amouzegar Kalati, T.; Keskin Tütüncü, D.(Український математичний журнал, 2012)
Let R be a right perfect ring. Let M be a noncosingular lifting module that does not have any relatively projective component. Then M has finite hollow dimension.
We prove that a semialgebraic map is semialgebraically proper if and only if it is proper. As an application of this assertion, we compare the semialgebraically proper actions with proper actions in a sense of Palais.
In this paper, we obtain an exact estimate for the first-order absolute moment of Stancu Beta operators by means of the Stirling formula and integral operations. Then we use this estimate for establishing a theorem on ...
Let K be a quadratic field and let R be the ring of integers of K such that R is a unique factorization domain. The set P of all Pythagorean triples in R is partitioned into Pη , sets of triples 〈α, β, γ〉 in P where η = γ ...
We define the abstract BBGKY hierarchy and its formal evolution operator. The existence of the latter is established in a special Banach space for a system of charged particles with Chern-Simons interaction regularized for ...