We construct reduced Groebner bases for a certain class of ideals in commutative polynomial rings. A subclass of these ideals corresponds to the generalized Reed-Muller codes when considered in the quotient ring of the polynomial ring. AMS Subject Classification: 13P10, 94B30

The effects of higher order corrections of ring diagrams for the quark condensate are studied by using the bare vertex Nuclear Schwinger Dyson formalism based on σ-ω model. At the high density the quark condensate is reduced by the higher order contribution of ring diagrams more than the mean field theory or the Hartree-Fock .

The title compound, C(6)H(8)FN(3)O(2), an analog of histidine, shows a reduced side-chain pK(a) (ca 1). The title structure exhibits a shortening of the bond between the proximal ring N atom and the F-substituted ring C atom, indicating an increase in π-bond character due to an inductive effect of fluorine.

the author studies the $bf r$$g$-module $a$ such that $bf r$ is an associative ring‎, ‎a group $g$ has infinite section $p$-rank (or infinite 0-rank)‎, ‎$c_{g}(a)=1$‎, ‎and for every‎ ‎proper subgroup $h$ of infinite section $p$-rank (or infinite 0-rank respectively) the quotient module $a/c_{a}(h)$ is‎ ‎a finite $bf r$-module‎. ‎it is proved that if the group $g$ under‎ ‎consideration is local...

Experiments are presented measuring the radial particle flux produced when a central barrier potential is applied to ring of coaxial Malmberg–Penning trap at same time as voltages producing main asymmetry ϕ1(r) cos (kz) (lθ−ωt). When negative DC voltage entire ring, peak by reduced factor e(Veff/1.2), where Veff effective in volts. This also increases frequency this flux. asymmetric ± two azimu...