We construct a new class of algebras resembling enveloping and generalizing orthogonal Gelfand-Zeitlin rational Galois studied by [EMV,FuZ,RZ,Har]. The are defined via geometric realization in terms sheaves functions invariant under an action finite group. A natural modules over these algebra can be constructed similar realization. In the special case local reflection group, shown to have expli...

This paper describes a study of controlling the coupling between the horizontal and the vertical betatron oscillations in the APS storage ring. Firit, we investigate the strengthening of coupling using two families of skew quadrupoles. Using smooth approximation, we obtained the formulae to estimate the coupling ratio defined as the ratio of the vertical and horizontal emittances or, for a sing...

This paper describes a study of controlling the coupling between the horizontal and the vertical betatron oscillations in the APS storage ring. First, we investigate the strengthening of coupling using two families of skew quadrupoles. Using smooth approximation, we obtained the formulae to estimate the coupling ratio defined as the ratio of the vertical and horizontal emittances or, for a sing...

In this note we will show that the dilation result obtained for fractional skew monoid rings, in the case of a cancellative left Ore monoid S acting on a unital ring A by corner isomorphisms, holds in full generality. We apply this result to the context of semigroup C∗-crossed products.

In the crystal structure of the title salt, C(2)H(8)NO(+)·C(7)H(6)NO(5)S(-), the cations and anions are linked together by N-H⋯O and O-H⋯O hydrogen bonds, forming layers parallel to (100). The plane of nitro group is skew with respect to the plane of benzene ring, making a dihedral angle of 17.5 (2)°.

In the title compound, C(20)H(20)ClFN(4)O(3), the tetra-hydro-pyridone ring adopts a skew boat conformation. The dihedral angle between the mean planes of the benzene and pyridine rings is 80.7 (3)°. In the crystal, weak C-H⋯O inter-actions are observed.

We construct trace codes over Z4 by using Boolean functions and skew sets, respectively. Their Lee weight distribution is studied by using a Galois ring version of the Walsh-Hadamard transform and exponential sums. We obtain a new family of optimal two-weight codes over Z4.