Let $k'/k$ be a finite purely inseparable field extension and let $G'$ reductive $k'$-group. We denote by $G=\R_{k'/k}(G')$ the Weil restriction of across $k'/k$, pseudo-reductive group. This article gives bounds for exponent geometric unipotent radical $\RR_{u}(G_{\bar{k}})$ in terms invariants starting with case $G'=\GL_n$ applying these results to where is simple

We introduce the notion of an orbit series in a quandle. Using this we define four families quandles based on finiteness conditions their series. Intuitively, classes t OS and n correspond to finitary compositions trivial while connected quandles. study properties these explore relationships with several previously studied quandles: reductive, -reductive, locally -locally solvable

Phenomenal consciousness is the property mental states, events, and processes have when, and only when, there is something it is like for their subject to undergo them, or be in them. What it is like to have a conscious experience is customarily referred to as the experience’s phenomenal character. Theories of consciousness attempt to account for this phenomenal character. This article surveys ...

Electrochemical oxidative adsorption and reductive desorption of a self-assembled monolayer (SAM) of decanethiol on a Au(111) single crystal electrode were examined in 0.1 M KOH ethanol solution containing various concentrations of decanethiol ranging from 1 muM to 1 mM. Anodic and cathodic current peaks corresponding to the adsorption and desorption of decanethiol, respectively, were observed ...