If R is a valuation domain of maximal ideal P with a maximal immediate extension of finite rank it is proven that there exists a finite sequence of prime ideals P = L0 ⊃ L1 ⊃ · · · ⊃ Lm ⊇ 0 such that RLj /Lj+1 is almost maximal for each j, 0 ≤ j ≤ m − 1 and RLm is maximal if Lm 6= 0. Then we suppose that there is an integer n ≥ 1 such that each torsion-free R-module of finite rank is a direct s...

This study tested the relationship between prelinguistic vocalization and expressive vocabulary 1 year later in young children with mild to moderate developmental delays. Three vocalization variables were tested: rate of all vocalization, rate of vocalizations with consonants, and rate of vocalizations used interactively. The 58 toddlers in the study were 17-34 months old, not sensory impaired,...

The high-dose, alcohol-induced influences on risk perception and loss aversion depend on sex. On the other hand, low-dose alcohol has less effect on risky behavior. However, the effect of low-dose alcohol on subjective valuation of gain or loss and also the effect of placebo (expectancy of alcohol) on risk perception have not been fully investigated. We investigated the effects of low-dose alco...

silica-bonded n-propyldiethylenetriamine (7) is employed as a recyclable heterogeneous solid base catalyst for the synthesis of 2-amino-3,5-dicarbonitrile-6-thiopyridines through pseudo four-component condensation reaction between aromatic aldehydes, malononitrile, and 2-amino-thiophenol in refluxing ethanol. silica-bonded n-propyldiethylenetriamine showed much the same efficiency when used in ...

We explore the notion of a pseudo-free group, first introduced by Hohenberger [Hoh03], and provide an alternative stronger definition. We show that if Zn is a pseudo-free abelian group (as we conjecture), then Zn also satisfies the Strong RSA Assumption [FO97,CS00,BP97]. Being a “pseudo-free abelian group” may be the strongest natural cryptographic assumption one can make about a group such as ...

2.1 Preliminaries Let K be a field, complete under discrete valuation vK with valuation ring AK and maximal ideal pK . Let K̄ be the residue field of K, assume that it is perfect. UK denotes the multiplicative group of invertible elements of AK . For a finite separable extension L of K, define vL, AL, pL, L̄ and UL in a similar manner. We assume that L̄|K̄ is separable. Let e = eL|K and f = fL|K be...