For P a poset or lattice, let Id(P ) denote the poset, respectively, lattice, of upward directed downsets in P, including the empty set, and let id(P ) = Id(P )−{∅}. This note obtains various results to the effect that Id(P ) is always, and id(P ) often, “essentially larger” than P. In the first vein, we find that a poset P admits no <-respecting map (and so in particular, no one-to-one isotone...

This paper shows that any compactly generated lattice is a subdirect product of subdirectly irreducible lattices which are complete and upper continuous. An example of a compactly generated lattice which cannot be subdirectly decomposed into subdirectly irreducible compactly generated lattices is given. In the case of an ideal lattice of a lattice L, the decomposition into subdirectly irreducib...

A quantum model of the Raman process with independent Stokes and anti-Stokes nonlinear interactions is developed to study nonclassical correlations between photons in fields. The role laser pump amplitude, ratio coupling constants population losses vibrational mode forming elucidated. $ g^{(2)} intensity cross-correlation function, noise-reduction-factor, two-mode principal squeezing variance, ...

This paper deals with the formation control of a group of point masses subject to ideal Coulomb friction. We propose a discontinuous controller which provides a solution to the exact formation problem in the presence of ideal Coulomb friction.

In this paper, we introduce the notion of anti fuzzy PS – Subalgebra along with PS-ideal in homomorphism and Cartesian product and discussed some of their properties.

Abstract This essay weaves together the history of political and legal thought, contemporary democratic theory, recent debates in scholarship to examine ambivalent relationship between parties democracy. Celebrated as a structural necessity for mechanics government, are also handled with suspicion their hybrid nature—neither entirely public nor completely private—and always-possible regression ...