5-acetyl-6-methyl-4-aryl-3,4-dihydropyrimidin-2(1H)-ones were synthesized in good to excellent by one-pot three-component Biginelli condensation in the presence of ammonium salt [Et3NH][HSO4] as an inexpensive and green catalyst under solvent-free conditions. High yields, short reaction time, easy work-up, a green environment which requires no toxic o...

The ionic liquid Li(OHCH2CH2NH2)(CF3OAC) was found to efficiently catalyze the three-component reaction between different enols, aldehydes, and malononitrile , leading to rapid synthesis of 2-amino-4H-chromene derivatives in fairly high yields. The catalyst is easily prepared, highly stable, simple to handle and recycled for several times without significant loss of activity. The method is simp...

Heavy alkylated benzene (HAB), which is a by-product in linear alkylbenzene (LAB) production by UOP process, is separated by distillation from LAB and consists of a range of components such as polyalkylbenzenes, diphenylalkanes, alkyl tetralins, and alkylindans. The products of sulfonation of HAB or its distillation cuts are of wide industrial applications such as emulsifiers, dispersants in lu...

We show that the monoidal product on the stable homotopy category of spectra is essentially unique. This strengthens work of this author with Schwede on the uniqueness of models of the stable homotopy theory of spectra. Also, the equivalences constructed here give a unified construction of the known equivalences of the various symmetric monoidal categories of spectra (S-modules, W -spaces, orth...

From quantum mechanics calculations we confirm that the naturally occurring enol lancifodilactone G is stable over the keto form (by 2.6 kcal/mol in water), the only known stable aliphatic enol (devoid of conjugated or bulky aromatics and lacking a 1,3-diketone structural motif known to stabilize enols). We determine architectural elements responsible for the enol stabilization and find a mecha...

Using the notion of isoclinism introduced by P. Hall for finite p-groups, we show that many important classes of finite p-groups have stable cohomology detected by abelian subgroups, see Theorem 4.4. Moreover, we show that the stable cohomology of the n-fold wreath product Gn = Z/p o · · · oZ/p of cyclic groups Z/p is detected by elementary abelian p-subgroups and we describe the resulting coho...

Using a generalization of the skew-product representation of planar Brownian motion and the analogue of Spitzer’s celebrated asymptotic Theorem for stable processes due to Bertoin and Werner, for which we provide a new easy proof, we obtain some limit Theorems for the exit time from a cone of stable processes of index α ∈ (0, 2). We also study the case t → 0 and we prove some Laws of the Iterat...

In this paper a construction of C 1-wavelets on the two-dimensional sphere is presented. First, we focus on the construction of a multiresolution analysis leading to C 1-functions on S 2. We show reenablility of the constructed tensor product generators. Secondly, for the wavelet construction we employ a factorization of the reenement matrices which leads to reenement matrices characterizing co...

We characterize transversality, non-transversality properties on the moduli space of genus 0 stable maps to a rational projective surface. This characterization is based on the singularity analysis of the product of evaluation maps and deformation properties of the pointed stable maps. If a target space is equipped with a real structure, i.e, anti-holomorphic involution, then this transversalit...

In this paper we show that stable rank of the C -algebras of simply connected, amenable Lie groups of type I is estimated by complex dimension of the spaces of all characters of these groups. It is extended to the connected case, by which we show that product formula of stable rank holds for the group C -algebras of connected, amenable Lie groups of type I. For further estimation of stable rank...