Concise and highly selective asymmetric synthesis of acosamine from sorbic acid

Diastereoselective conjugate addition of lithium (R)-N-benzyl-N-(α-methylbenzyl)amide to tert-butyl sorbate and subsequent chemo- and diastereoselective ammonium-directed olefinic oxidation of the resultant conjugate addition product {tert-butyl (3S,αR)-3-[N-benzyl-N-(α-methylbenzyl)amino]hex-4-ene} have been used as the key steps in a concise and highly selective asymmetric synthesis of the 2,3,6-trideoxy-3-aminohexose l-acosamine. This sequence of two chemical operations allows rapid assembly of the molecular architecture and facilitates the de novo asymmetric synthesis of methyl N,O-diacetyl-α-l-acosaminide in only 7 steps from commercially available sorbic acid in 15% overall yield.     

Fuzzy automata based on lattice-ordered monoid with algebraic and topological aspects

The purpose of this work is to study some algebraic and topological concepts of fuzzy automata with the membership values in lattice-ordered monoids. Unlike the usual fuzzy automata, we show that such concepts are affected by the associated monoid structure.