Can there be a structure space-type theory for an arbitrary class of ideals ring? The ideal spaces introduced in this paper allows such study and our includes (but not restricted to) prime, maximal, minimal strongly irreducible, completely proper, minimal, primary, nil, nilpotent, regular, radical, principal, finitely generated ideals. We characterise that are sober. introduce the notion discon...

by Lincoln Williams. Edgar Backus, Leicester6/-. This small book takes only a few minutes to read and naturally deals only very superficially with the problem of alcoholism. It is "addressed to the man in the street, and his doctor too" but it will scarcely give the latter much he doesn't know, and its main purpose must be to provide an encouragement for the sufferer and for his family, by emph...

This paper deals with the boundary value problem involving the differential equation ell y:=-y''+qy=lambda y, subject to the eigenparameter dependent boundary conditions along with the following discontinuity conditions y(d+0)=a y(d-0), y'(d+0)=ay'(d-0)+b y(d-0). In this problem q(x), d, a , b are real, qin L^2(0,pi), din(0,pi) and lambda is a parameter independent of x. By defining a new...

Generalising Nachbin's theory of ``topology and order'', in this paper we   continue the study of quantale-enriched categories equipped with a compact   Hausdorff topology. We compare these $V$-categorical compact Hausdorff spaces   with ultrafilter-quantale-enriched categories, and show that the presence of a   compact Hausdorff topology guarantees Cauchy completeness and (suitably   defined) ...

We study the mathematical structure of notion measurement space, which extends aspects noncommutative topology that are based on quantale theory. This yields a geometric model physical measurements provides realist picture, yet also operational, such and classical information arise interdependently as primitive concepts. A derived observer caters for formulation Bohr's classical/quantum divide....

ToMorrow We'll be Sober. It was not until a SubCommittee on Alcoholism was set up by the World Health Organisation in 1951, that the size of the problem throughout the world became apparent, even to the experts themselves. Hitherto the alcoholic had been hardly worthy of serious scientific study, being regarded by the medical profession as well as by lay people as the subject of moral weakness ...