Given a matrix over a skew field fixing the column .1; : : : ; 1/, we give formulas for a row vector fixed by this matrix. The same techniques are applied to give noncommutative extensions of probabilistic properties of codes. Mathematics Subject Classification (2010). 16Z05, 05E15.

The review is devoted to nonassociative algebras, rings and modules over them. main actual recent trends in this area are described. Works reviewed on radicals rings, algebras related with skew polynomials, commutative their modules, cyclic obtained as extensions, Ore extensions of hom-associative them, von Neumann finiteness for algebras. Furthermore, there outlined them harmonic analysis nonl...

In this paper, a new form of alpha-beta-skew-Laplace distribution is proposed under Balakrishnan [3] mechanism and investigated some its related distributions. The moments, distributional properties extensions the have also studied. Finally, suitability appropriateness has tested by conducting data fitting experiment comparing values Akaike Information Criterion (AIC) Bayesian (BIC) with other ...

If Tψ is an ergodic group extension of a weakly mixing transformation T having minimal self-joinings, then it is shown that isomorphism between Tψ and its inverse implies isomorphism between T and T−1. However, if T satisfies the weaker condition of being simple it is shown that that isomorphism between Tψ and its inverse does not imply the isomorphism between T and T−1. This answers a question...

We consider compact Lie groups extensions of expanding maps of the circle, essentially restricting to U(1) and SU(2) extensions. The central object of the paper is the associated Ruelle transfer (or pull-back) operator F̂ . Harmonic analysis yields a natural decomposition F̂ = ⊕F̂α, where α indexes the irreducible representation spaces. Using Semiclassical techniques we extend a previous result by...

The notions separability and normality are related to this characterisation. In the case of skew fields polynomials often have infinitely many zeros, so a different way of counting zeros as distinct is needed. The well-known theorem of Gordon and Motzkin [Z] states that a polynomial of degree n has zeros in at most n conjugacy classes. This suggests one should count zeros of a polynomial by the...

RATIONALE Reducing tidal volume decreases mortality in acute respiratory distress syndrome (ARDS). However, the effect of the timing of low tidal volume ventilation is not well understood. OBJECTIVES To evaluate the association of intensive care unit (ICU) mortality with initial tidal volume and with tidal volume change over time. METHODS Multivariable, time-varying Cox regression analysis ...

The use of body mass index (BMI) may not be the most appropriate measurement tool in determining obesity in diverse populations. We studied a convenience sample of 108 African American (AA) women to determine the best method for measuring obesity in this at-risk population. The purpose of this study was to determine if percent body fat (PBF) and percent body water (PBW) could be used as alterna...

From symplectic reflection algebras [12], some algebras are naturally introduced. We show that these algebras are non-homogeneous N Koszul algebras. The Koszul property was generalized to homogeneous algebras of degree N > 2 in [6]. In the present paper, the extension of the Koszul property to non-homogeneous algebras is realized through a PBW theorem. This PBW theorem is the generalization to ...