Let G be the group with Borel subgroup B, associated to a Kac-Moody Lie algebra [unk] (with Weyl group W and Cartan subalgebra [unk]). Then H(*)(G/B) has, among others, four distinguished structures (i) an algebra structure, (ii) a distinguished basis, given by the Schubert cells, (iii) a module for W, and (iv) a module for Hecke-type operators A(w), for w [unk] W. We construct a ring R, which ...

(nil) = nil sigperm(x :: xs) = append(sigrot(x; x); sigperm(xs)) sigrot(x; nil) = nil sigrot(u; x :: xs)) = cond(issig(u); u :: sigrot(rotate(u); xs); sigrot(rotate(u); xs)) 4.4 Third transformation step Our objective is to get rid of the costly occurrences of append in sigperm. We introduce the new denition: sr(x; y; u) = append(sigrot(x; y); u) and the theorem: The complete denition of sigper...

Moclobemide is a selective and reversible monoamine oxidase-A inhibitor, which is used as an antidepressant. Three moclobemide analogues were synthesized by replacing moclobemide phenyl ring with substituted imidazoles. So, N-[(4-morpholinyl) ethyl)]-1-benzyl-2-(alkylthio)-1H-imidazole-5-carboxamides (7a-c) were synthesized and studied for the antidepressant activity using forced swimming test ...

Introduction: Ischemia/reperfusion (IR) injury involves a complex interrelated sequence of events. High levels of nitric oxide (NO) are generated with inducible form of nitric oxide synthase (iNOS) leading to the renal IR injury and glutathione (GSH) depletion. The present study was designed to investigate the effect of L-Nil (N6- (1-Iminoethyl)-L- lysine.hydrochloride), a selective inhibito...

 In this paper we characterize all $2times 2$ idempotent and nilpotent matrices over an integral domain and then we characterize all $2times 2$ strongly nil-clean matrices over a PID. Also, we determine when a $2times 2$ matrix  over a UFD is nil-clean.

Abstract Micro Ring Resonator (MRR) is a successful micro-device with the help of which different types optical logic gates, processors, arithmetic units, etc. can be designed and integrated easily into modern high-speed communication network. In this article, at first, author has explained switching mechanism MRR then an optically controlled Feynman gate (i.e. reversible controlled-Not gate) u...