We study algebraic and topological properties of topological semigroups containing a copy of the bicyclic semigroup C(p, q). We prove that each topological semigroup S with pseudocompact square contains no dense copy of C(p, q). On the other hand, we construct a consistent example of a Tychonov countably compact semigroup containing a copy of C(p, q). In this paper we study the structural prope...

In the paper we study (countably) compact and (absolutely) H-closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological inverse semigroup embeds into a compact primitive topological inverse semigroup. In this paper all spaces are Hausdorff. A semigr...

A semigroup whose bi-ideals and quasi-ideals coincide is called a -semigroup. The full transformation semigroup on a set X and the semigroup of all linear transformations of a vector space V over a field F into itself are denoted, respectively, by T(X) and LF(V). It is known that every regular semigroup is a -semigroup. Then both T(X) and LF(V) are -semigroups. In 1966, Magill introduced and st...

We displayed backward/forward motion on a computer monitor in the ground plane. Subjects looked at the center of a moving pattern and eye movements of both eyes were recorded with a search coil system. Involuntary nystagmus including vertical version (VV) and horizontal vergence (HV) was recorded. Dynamics of the nystagmus showed that the slow and quick phase of VV and HV were always associated...

Liver tumors involving hepatic vein (HV) at caval confluence have been always considered an indication for major hepatectomy and/or HV reconstruction. However; careful study by means of intraoperative ultrasonography (IOUS) of tumor-vein relations and HV anatomy searching for accessory veins, together with color-Doppler IOUS analysis of portal flow, allows more conservative approaches also in t...

It is known that a regularly Lyapounov function for a semigroup of contractions on a Hilbert space converges to its minimum along the trajectories of the semigroup. In this paper we show that this Lyapounov function nearly converges to its minimum along trajectories of the semigroup generated by a small bounded perturbation of the semigroup generator.

The aim of this paper is to apply the concept of fuzzy soft sets over a Γ -semigroup. Here the notion of fuzzy soft ideals over a Γ -semigroup has been introduced. The special union, intersection and product of fuzzy soft ideals over a Γ -semigroup have been defined and proved that these are also fuzzy soft Γ -ideals over the Γ -semigroup.

In situ observation of absorption spectral change of heptil viologen cation radical (HV ) was performed by slab optical waveguide (SOWG) spectroscopy utilizing indium-tin-oxide (ITO) electrodes. Synchronizing with electrochemical techniques, we observed the adsorption process of HV on the ITO electrode. In this study, we carried out the ITO-SOWG observations using KBr aqueous solution containin...

High multivitamin gestational diets (HV, 10-fold AIN-93G levels) increase body weight (BW) and food intake (FI) in rat offspring weaned to a recommended multivitamin (RV), but not to a HV diet. We hypothesized that high vitamin A (HA) alone, similar to HV, in post-weaning diets would prevent these effects of the HV maternal diet consistent with gene expression in FI and reward pathways. Male of...