In 2001, S. Bulman-Fleming et al. initiated the study of three flatness properties (weakly kernel flat, principally weakly kernel flat, translation kernel flat) of right acts $A_{S}$ over a monoid $S$ that can be described by means of when the functor $A_{S} otimes -$ preserves pullbacks. In this paper, we extend these results to $S$-posets and present equivalent descriptions of weakly kernel p...

in 2001, s. bulman-fleming et al. initiated the study of three flatness properties (weakly kernel flat, principally weakly kernel flat, translation kernel flat) of right acts $a_{s}$ over a monoid $s$ that can be described by means of when the functor $a_{s} otimes -$ preserves pullbacks. in this paper, we extend these results to$s$-posets and present equivalent descriptions of weakly kernel po...

in the present paper, we shall attempt to make a contribution to approximate analytical evaluation of the harmonic decomposition of an arbitrary continuous function. the basic assumption is that the class of functions that we investigate here, except the verification of dirichlet's principles, is concurrently able to be expanded in taylor's representation, over a particular interval o...

This paper provides a practical description of density estimation based on kernel methods. An important aim is to encourage practicing statisticians to apply these methods to data. As such, reference is made to implementations of these methods in R, S-PLUS and SAS.

background in a severe oxidative stress condition, balance of oxidant-anioxdiant system of the body breaks down, which is in order to produce more oxidants and, after that, important macromolecules such as dna undergo irreversible changes. there are reports indicating the therapeutic effects of the date. this study was aimed to evaluate the effect of date kernel`s on antioxidant capacity and th...

In 2001, S. Bulman-Fleming et al. initiated the study of three flatness properties (weakly kernel flat, principally weakly kernel flat, translation kernel flat) of right acts AS over a monoid S that can be described by means of when the functor AS ⊗ − preserves pullbacks. In this paper, we extend these results to S-posets and present equivalent descriptions of weakly kernel po-flat, principally...

we give a new proof of the well known wedderburn's little theorem (1905) that a finite‎ ‎division ring is commutative‎. ‎we apply the concept of frobenius kernel in frobenius representation theorem in finite group‎ ‎theory to build a proof‎.

For any digraph D we construct a digraph s(S) such that D has a k-kernel iff s(S) has a k-kernel. The method employed allows to prove that, any digraph is an induced subdigraph of an infinite set of digraphs with (resp. without) k-kernel; and it can be used as a powerful tool in the construction of a large class of digraphs with (resp. without) k-kernel. Previous results are generalyzed. Mathem...

Known facts: the decision problem of the existence of a kernel in a digraph G = (V; E) is NP-complete; if all of the cycles of G have even length, then G has a kernel; and the question of the number of kernels is #P-complete even for this restricted class of digraphs. We construct game theory tools, of independent interest, concerning strategies in the presence of draw positions, to show, in th...