Noncrossed products over $k_{\mathfrak {p}}(t)$

Noncrossed Products in Witt’s Theorem

Since Amitsur’s discovery of noncrossed product division algebras more than 35 years ago, their existence over more familiar fields has been an object of investigation. Brussel’s work was a culmination of this effort, exhibiting noncrossed products over the rational function field k(t) and the Laurent series field k((t)) over any global field k — the smallest possible centers of noncrossed prod...

INDECOMPOSABLE AND NONCROSSED PRODUCT DIVISION ALGEBRAS OVER FUNCTION FIELDS OF SMOOTH p-ADIC CURVES

We construct indecomposable and noncrossed product division algebras over function fields of smooth curves X over Zp. This is done by defining an index preserving morphism s : Br(K̂(X)) → Br(K(X)) which splits res : Br(K(X)) → Br(K̂(X)), where K̂(X) is the completion of K(X) at the special fiber, and using it to lift indecomposable and noncrossed product division algebras over K̂(X).

Propane Oxidation over Pt/SrTiO3 Nanocuboids

Automotive exhaust is one of the main generators of air pollutants. This problem is expected to worsen as the demand for privately owned vehicles increases. Internal combustion engines utilizing gasoline and diesel generate harmful pollutants such as nitrogen oxides (NOx), carbon monoxide (CO), unburned hydrocarbons (HC), particulates, and sulfur oxides (SOx). Liquefied petroleum gas (LPG), an ...

Skolem labelled trees and Ps□Pt Cartesian products

Hydrogenation of Phenol over Pt/CNTs: The Effects of Pt Loading and Reaction Solvents

Carbon nanotubes (CNTs)-supported Pt nanoparticles were prepared with selective deposition of Pt nanoparticles inside and outside CNTs (Pt–in/CNTs and Pt–out/CNTs). The effects of Pt loading and reaction solvents on phenol hydrogenation were investigated. The Pt nanoparticles in Pt–in/CNTs versus Pt–out/CNTs are smaller and better dispersed. The catalytic activity and reuse stability toward phe...