A Banach lattice algebra is a Banach lattice, an associative algebra with a sub-multiplicative norm and the product of positive elements should be positive. In this note we study the Arens regularity and cohomological properties of Banach lattice algebras.

Water plays a key role in mineral processing plants. In order to process one ton of ore, 2.5 ton water is needed. Thickeners are commonly used for dewatering and recovering the water in most mineral processing plants. The underflow pulp density is increased by the sedimentation of particles and a clear water is then recovered from the overflow. One of the issues related to using the process wat...

Denef and Loeser defined a map from the Grothendieck ring of sets definable in pseudo-finite fields to the Grothendieck ring of Chow motives, thus enabling to apply any cohomological invariant to these sets. We generalize this to perfect, pseudo algebraically closed fields with pro-cyclic Galois group. In addition, we define some maps between different Grothendieck rings of definable sets which...

2 Elliptic Curves and Maps Between Them 2 2.1 The Group Operation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2.2 Weierstrass Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.3 Maps Between Elliptic Curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.4 Dual Isogenies . . . . . . . . . . . . . . ....

This study provides an overview of the rheological properties aqueous polyurethanes (WPU), as main component, or a thickening additive in formulations. Waterborne (WPU) have been proposed environmentally friendly alternative to conventional solvent-based solutions variety industrial applications such coatings, adhesives, inks. In all these fields, control became important prerogative determine ...

Experimental data were obtained for AA copolymers as resource-saving thickeners using compensatory copolymerization of KS. The refractive index the heptilacrylate (HA) ether was determined on a digital refractometer DR301-95. molar mass and density its solubility in solvents ethanol, acetone, DMF benzene also determined. We beat HA + styrene 1: 2, 1, 2: 1 mole ratio.

In this paper, by using Gröbner-Shirshov bases, we show that in the following classes, each (resp. countably generated) algebra can be embedded into a simple (resp. two-generated) algebra: associative differential algebras, associative Ω-algebras, associative λ-differential algebras. We show that in the following classes, each countably generated algebra over a countable field k can be embedded...