much higher compared to hexokinase12. Although Lau et al. have provided convincing evidence for this switching effect in cells, its effect within whole organisms is not yet known. The switching hypothesis may open a new avenue for the understanding of growth factor receptor signaling by metabolic flux by way of the hexosamine pathway. The lattice model provided by Lau et al.1 is also intriguing...

Let $mathcal{R}$ be a  commutative ring with identity, let $A$ and $B$ be two $mathcal{R}$-algebras and $varphi:Blongrightarrow A$ be an $mathcal{R}$-additive algebra homomorphism. We introduce a new algebra $Atimes_varphi B$, and give some basic properties of this algebra. Generalized $2$-cocycle derivations on $Atimes_varphi B$ are studied. Accordingly, $Atimes_varphi B$ is considered from th...

The study aims to describe and interpret the agricultural system dynamics on Western Mediterranean areas in terms of occupied land crop specialization, by using available data from two last censuses. From spatial point view, we chose adopt most detailed level available, smallest administrative unit (LAU) for every involved country (Spain, Portugal, France Italy). resulting database was made abo...

STEFAN GERLICH1, LUCIA HACKERMÜLLER1*, KLAUS HORNBERGER2, ALEXANDER STIBOR1, HENDRIK ULBRICHT1, MICHAEL GRING1, FABIENNE GOLDFARB1‡, TIM SAVAS3, MARCEL MÜRI4, MARCEL MAYOR4,5 AND MARKUS ARNDT1 Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Wien, Austria Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, Theresienstrasse 37, 80333 Münche...

‎let $omega$ be a class of unital‎ ‎$c^*$-algebras‎. ‎we introduce the notion of a local tracial $omega$-algebra‎. ‎let $a$ be an $alpha$-simple unital local tracial $omega$-algebra‎. ‎suppose that $alpha:gto $aut($a$) is an action of a finite group $g$ on $a$‎ ‎which has a certain non-simple tracial rokhlin property‎. ‎then the crossed product algebra‎ ‎$c^*(g,a,alpha)$ is a unital local traci...

A Heyting algebra is a distributive lattice with implication and a dual $BCK$-algebra is an algebraic system having as models logical systems equipped with implication. The aim of this paper is to investigate the relation of Heyting algebras between dual $BCK$-algebras. We define notions of $i$-invariant and $m$-invariant on dual $BCK$-semilattices and prove that a Heyting semilattice is equiva...

Suppose that $A$ is a semi-simple and commutative Banach algebra. In this paper we try to characterize the character space of the Banach algebra $C_{rm{BSE}}(Delta(A))$ consisting of all  BSE-functions on $Delta(A)$ where $Delta(A)$ denotes the character space of $A$. Indeed, in the case that $A=C_0(X)$ where $X$ is a non-empty locally compact Hausdroff space, we give a complete characterizatio...