In this article the notions of semi weak orthogonality and semi weak factorization structure in a category $mathcal X$ are introduced. Then the relationship between semi weak factorization structures and quasi right (left) and weak factorization structures is given. The main result is a characterization of semi weak orthogonality, factorization of morphisms, and semi weak factorization structur...

In this work we consider morphisms that preserve well-known non-repeating properties: squarefreeness, cubefreeness, overlap-freeness and weak squarefreeness. Up to the present moment only the morphisms preserving three out of four non-repeating properties have been known. The problem of the existence of weakly squarefree morphisms was open. The essential result of this work is the positive solu...

We study harmonic morphisms by placing them into the context of conformal foli-ations. Most of the results we obtain hold for bres of dimension one and codomains of dimension not equal to two. We consider foliations which produce harmonic mor-phisms on both compact and noncompact Riemannian manifolds. By using integral formulae, we prove an extension to one-dimensional foliations which produce ...

Fixed points u = φ(u) of marked and primitive morphisms φ over arbitrary alphabet are considered. We show that if u is palindromic, i.e., its language contains infinitely many palindromes, then some power of φ has a conjugate in class P. This class was introduced by Hof, Knill and Simon (1995) in order to study palindromic morphic words. Our definitions of marked and well-marked morphisms are m...

objective(s): to investigate the association of single nucleotide polymorphisms (snps) in the peroxisome proliferator-activated receptors gamma (pparg) with essential hypertension (eh) and additional role of gene– high-density lipoprotein cholesterol (hdl) interaction. materials and methods:a total of 1640 patients with eh (806 males, 834 females), with a mean age of 52.5±12.6 years, were selec...

A probabilistic structure on sequential dynamical systems is introduced here, the new model will be called Probabilistic Sequential Network, PSN. The morphisms of Probabilistic Sequential Networks are defined using two algebraic conditions. It is proved here that two homomorphic Probabilistic Sequential Networks have the same equilibrium or steady state probabilities if the morphism is either a...

Superpositions are useful relationships between programs or components in component based approaches to software development. We study the application of invasive superposition morphisms between components in the architecture design language CommUnity. This kind of morphism allows us to characterise component extension relationships, and in particular, serves an important purpose for enhancing ...

We consider equality sets of prefix morphisms, that is, sets EG(g1, g2) = {w | g1(w) = g2(w)}, where g1 and g2 are prefix morphisms. Recall that a morphism g is prefix if, for all different letters a and b, g(a) is not a prefix of g(b). We prove a rather surprising equality on families of languages, namely, that the family of regular star languages coincides with the family of languages of form...

1. Linear series on curves 1.1. Terminology and notation 1.2. Morphisms from linear series; Castelnuovo’s genus bound 1.3. Linear series from morphisms 1.4. Relation between linear series and morphisms 1.5. Hermitian invariants; Weierstrass semigroups I 2. Weierstrass point theory 2.1. Hasse derivatives 2.2. Order sequence; Ramification divisor 2.3. D-Weierstrass points 2.4. D-osculating spaces...

The rational functions are shown to coincide with the compositions of endmarkings, morphisms and inverses of injective morphisms. To represent a rational function x we need one ednmarking \xm, two morphisms au <x3 and one inverse of an injective morphism <x2 and then Resumé. — On montre que les fonctions rationnelles coïncident avec les compositions de marquages \im est un marquage terminal, <x...