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

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., ...

BABIČ, CHRIS EMANUEL

Problematiko področja varnosti in zdravja pri delu predstavljajo predvsem nezgode, ki se na delovnih mestih dogajajo v primerih pomanjkljive koncentracije pri delu, nezbranosti ali poseganja v prepovedana območja oziroma območja nevarnosti. V zvezi s tem je bila anketna raziskava opravljena v združbi Fructal d.d. Ajdovščina z namenom ugotoviti deja...

Magnot, Jean-Pierre

We describe the mathematical properties of pairwise comparisons matrices with coefficients in an arbitrary group. We provide a vocabulary adapted for the description of main algebraic properties of inconsistency maps, describe an example where the use of a non abelian group is necessary. Algebraic, topological, geometric and probabilistic aspects a...

Caucal, Didier

We present simple graph-theoretic characterizations of Cayley graphs for left-cancellative monoids, groups, left-quasigroups and quasigroups. We show that these characterizations are effective for the end-regular graphs of finite degree.

Bazarov, S. Belenkiy, Y. Martynov, B. Soloviev, A.
Published in
Journal of Applied Engineering Sciences

The relevance of the problem under study is attributed to the need to enhance reliability of the complex engineering systems used in forestry, agriculture, transport, machine engineering, etc. The purpose of the article is to build a mathematical model that would generalize reliability theory fundamentals from a perspective of the theory of dynamic...

Sapozhenko, A. A. Sargsyan, V. G.
Published in
Journal of Applied and Industrial Mathematics

A collection (A1, … ,Ak+l) of subsets of an interval [1, n] of naturals is called (k, l)-solution-free if there is no set (a1, … , ak+l) ∈ A1 × ⋯ × Ak+l that is a solution to the equation x1 + ⋯ + xk = xk+1 + ⋯ + xk+l. We obtain the asymptotics for the logarithm of the number of sets (k, l)-free of solutions in an interval [1, n] of naturals.

Mouchenik, Yoram
Published in
Perspectives Psy

Dans la pluralité des courants théoriques les pratiques transculturelles tentent de répondre aux incertitudes que développent la rencontre clinique avec des altérités culturelles, linguistiques et sociales de patients venant d’ailleurs. Le dispositif de médiation que constitue la consultation transculturelle semble particulièrement pertinent dans u...

banakh, taras protasov, igor

We survey some results and pose some open problems related to boundedness of real-valued functions on balleans and coarse spaces. Special attention is paid to balleans on groups. The boundedness of functions that respect the coarse structure of a ballean could be considered as a coarse counterpart of pseudo-compactness.

Bourdon, Marc Remy, Bertrand Emy, Bertrand

We show that the continuous L p-cohomology of locally compact second countable groups is a quasi-isometric invariant. As an application, we prove partial results supporting a positive answer to a question asked by M. Gromov, suggesting a classical behaviour of continuous L p-cohomology of simple real Lie groups. In addition to quasi-isometric invar...