Abstract The study of the sobriety Scott spaces has got a relatively long history in domain theory. Lawson and Hoffmann independently proved that space every continuous directed complete poset (usually called domain) is sober. Johnstone constructed first whose non-sober. Soon after, Isbell gave lattice with non-sober space. Based on Isbell’s example, Xu, Xi, Zhao showed there even Heyting algeb...

the aim of this paper is to establish a fuzzy version of the dualitybetween domains and completely distributive lattices. all values aretaken in a fixed frame $l$. a definition of (strongly) completelydistributive $l$-ordered sets is introduced. the main result inthis paper is that the category of fuzzy domains is dually equivalentto the category of strongly completely distributive $l$-ordereds...

As an application of the dual equivalence between the category of L-spatialC-objects and the category of L-sober C-M-L-spaces, it is shown in this paper that for a fixed augmented partially ordered set A, there exists a dual equivalence between the category of A-spatial augmented partially ordered sets and the category of A-sober A-valued spaces. Then, with regard to this duality, for a fixed (...

The aim of this paper is to establish a fuzzy version of the dualitybetween domains and completely distributive lattices. All values aretaken in a fixed frame $L$. A definition of (strongly) completelydistributive $L$-ordered sets is introduced. The main result inthis paper is that the category of fuzzy domains is dually equivalentto the category of strongly completely distributive $L$-ordereds...

In the decades since alcoholism became widely recognized as a disease (Jellinek, 1960), evidence for alcohol-induced physical damage has accumulated both in quantity and in detail. Prominent amongst the affected organ systems at-risk is the brain, which responds to alcohol in a variety of ways. Free radicals formed during metabolism of alcohol damage the brain. Acetaldehyde, which is generated ...

Moerner, A. H. (1895). Skand. Arch. Phy8iol. 6, 332. Patte, J. C., Baldassaire, G. & Loret, J. (1958). Rev. franf. Eud. clin. biol. 3, 960. Peterson, H. A. & Sober, E. A. (1958). Fed. Proc. 17, 288. Popenoe, E. A. (1955). J. biol. Chem. 217, 61. Porter, K. R. & Tamm, I. (1955). J. biol. Chem. 212, 135. Prasad, A. S. & Flink, E. B. (1958). J. Lab. clin. Med. 51, 345. Rich, C. & DiFerrante, N. (1...