In an earlier paper we developed the classification of weakly symmetric pseudo–Riemannian manifolds $G/H$, where $G$ is a semisimple Lie group and $H$ reductive subgroup. We derived from cases compact. As consequence obtained Lorentz signature $(n-1,1)$ trans-Lorentzian $(n-2,2)$. Here work out pseudo-Riemannian nilmanifolds $G/H$ for case $G=N \rtimes H$ with compact $N$ nilpotent. It turns th...

The weakly coordinating carborane anion in ion-like trialkylsilyl species R3Si(CHB11Cl11) can be displaced by nucleophiles as weak as ortho-dichlorobenzene, SO2 and trialkylsilanes, the latter forming nearly linear hydride bridges in R3Si-H-SiR3+ cations.

Let H be an integral domain, and let Σ be a collection of integrally closed overrings of H. We show that if A is an overring of H such that H = ( T R∈Σ R)∩A, and if Σ is a Noetherian subspace of the space of all integrally closed overrings of H, then there exists a weakly Noetherian subspace Γ of integrally closed overrings of H such that H = ( T R∈Γ R) ∩ A, and no member of Γ can be omitted fr...

Using the Chu-construction, we define a group algebra for topological Hausdorff groups. Furthermore, for isometric, weakly continuous representations of a subgroup H of a Hausdorff group G induced representations are constructed.

the aim of this paper is to introduce the concepts of fuzzy upper and fuzzy lower almost continuous, weakly continuous and almost weakly continuous multifunctions. several characterizations and properties of these multifunctions along with their mutual relationships are established in $l$-fuzzy topological spaces

‎In this paper‎, ‎we propose an algorithm to obtain an approximation set of the (weakly) nondominated points of nonsmooth multiobjective optimization problems with equality and inequality constraints‎. ‎We use an extension of the Wolfe duality to construct the separating hyperplane in Benson's outer algorithm for multiobjective programming problems with subdifferentiable functions‎. ‎We also fo...

We introduce the notion of weak subnormality, which generalizes subnormality in the sense that for the extension b T ∈ L(K) of T ∈ L(H) we only require that b T ∗ b Tf = b T b T ∗f hold for f ∈ H; in this case we call b T a partially normal extension of T . After establishing some basic results about weak subnormality (including those dealing with the notion of minimal partially normal extensio...

We studied the functional role and modulation of the hyperpolarization-activated inward current (I(h)) in the pyloric network of the lobster stomatogastric ganglion. In isolated neurons, I(h) is a small current with a hyperpolarized voltage of half-activation (V(Act)) and a slow time constant of activation (tau(Act)). Bath application of dopamine (DA), octopamine (OCT), or serotonin (5HT) modif...

Let H be a Hopf algebra and A an H-simple right H-comodule algebra. It is shown that under certain hypotheses every (H,A)-Hopf module is either projective or free as an A-module and A is either a quasi-Frobenius or a semisimple ring. As an application it is proved that every weakly finite (in particular, every finite dimensional) Hopf algebra is free both as a left and a right module over its f...

In the title compound, C(22)H(18)N(4)O(2)S, the seven-membered ring generated by an intra-molecular N-H⋯O hydrogen bond adopts an envelope conformation in both of the two independent mol-ecules in the asymmetric unit. In the crystal, mol-ecules are linked into C(9) chains along [100] by N-H⋯O hydrogen bonds. The mol-ecules are also weakly linked by C-H⋯O and C-H⋯N inter-actions, forming dimers ...