Wehrung, Friedrich

It is well known that the real spectrum of any commutative unital ring, and the ℓ-spectrum of any Abelian lattice-ordered group with order-unit, are all completely normal spectral spaces. We prove the following results: (1) Every real spectrum can be embedded, as a spectral subspace, into some ℓ-spectrum. (2) Not every real spectrum is an ℓ-spectru...

Harding, Warren G McConatha, Jasmin Tahmaseb Kumar, V K
Published in
International journal of environmental research and public health

An important and often unexplored factor shaping life satisfaction is one's perception of the world as a "just" place. The "just world hypothesis" is predicated on the idea that the world works as a place where people get what they merit, an idea that often serves as a means for people to rationalize injustices. The research addressing just world b...

Wehrung, Friedrich

We construct a completely normal bounded distributive lattice D in which for every pair (a, b) of elements, the set {x ∈ D | a ≤ b ∨ x} has a countable coinitial subset, such that D does not carry any binary operation - satisfying the identities x ≤ y ∨(x-y),(x-y)∧(y-x) = 0, and x-z ≤ (x-y)∨(y-z). In particular, D is not a homomorphic image of the ...

Wehrung, Friedrich

Anti-elementarity is a strong way of ensuring that a class of structures , in a given first-order language, is not closed under elementary equivalence with respect to any infinitary language of the form L ∞λ. We prove that many naturally defined classes are anti-elementary, including the following: • the class of all lattices of finitely generated ...

Wehrung, Friedrich

A compact topological space X is spectral if it is sober (i.e., every irreducible closed set is the closure of a unique singleton) and the compact open subsets of X form a basis of the topology of X, closed under finite intersections. Theorem. A topological space X is homeomorphic to the spectrum of some countable Abelian ℓ-group with unit (resp., ...

Gulgowski, Piotr
Published in
Questions and Answers in Linguistics

Singular nouns in the scope of a distributive operator have been shown to be treated as conceptually plural (Patson and Warren, 2010). The source of this conceptual plurality is not fully clear. In particular, it is not known whether the concept of plurality associated with a singular noun originates from distributing over multiple objects or multi...

Boateng, Francis D Hsieh, Ming-Li
Published in
International journal of offender therapy and comparative criminology

Primarily, this article examines the role of organizational justice in understanding prison officers' behavior. The authors surveyed 169 correctional officers across five correctional facilities in Ghana to explore the role of three organizational justice dimensions in prison misconduct and job stress. Results from the negative binomial and ordinal...

Lecolle, Michelle

En partant du postulat que certains jeux de mots se basent sur des propriétés remarquables de la langue, cet article s’intéresse à des cas de jeux de mots dans lesquels le collectif et la pluralité ont une place centrale. Les énoncés étudiés proviennent de la littérature, de la publicité et principalement de la presse. Ils comportent des noms colle...

Wehrung, Friedrich
Published in
Order

A partial lattice P is ideal-projective, with respect to a class C\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal {C}$\end{document} of lattices, if for every K...

Wehrung, Friedrich

The problem of determining the range of a given functor arises in various parts of mathematics.We present a sample of such problems, with focus on various functors, arising in the contexts of nonstable K_0-theory of rings, congruence lattices of universal algebras, spectral spaces of ring-like objects.We also sketch some of the ideas involved in th...