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Displaying similar documents to “A natural occurrence of shift equivalence”

Note on algebraic interior systems

Ivan Chajda (2005)

Discussiones Mathematicae - General Algebra and Applications

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We get an interrelation between an algebraic closure system and its conjugated interior system. We introduce the concept of algebraic interior system and we get its representation.

Algebraic objects over a small category

Józef Tabor

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CONTENTSIntroduction.......................................................................................................... 5II. Quasi-transitive algebraic objects....................................................................... 12III. Rank of the quasi-transitivity of algebraic objects........................................... 22IV. Commutative algebraic objects.......................................................................... 25V. Regular algebraic objects........................................................................................

Hypersatisfaction of formulas in agebraic systems

Klaus Denecke, Dara Phusanga (2009)

Discussiones Mathematicae - General Algebra and Applications

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In [2] the theory of hyperidentities and solid varieties was extended to algebraic systems and solid model classes of algebraic systems. The disadvantage of this approach is that it needs the concept of a formula system. In this paper we present a different approach which is based on the concept of a relational clone. The main result is a characterization of solid model classes of algebraic systems. The results will be applied to study the properties of the monoid of all hypersubstitutions...

Transcendence results on the generating functions of the characteristic functions of certain self-generating sets

Peter Bundschuh, Keijo Väänänen (2014)

Acta Arithmetica

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This article continues two papers which recently appeared in this same journal. First, Dilcher and Stolarsky [140 (2009)] introduced two new power series, F(z) and G(z), related to the so-called Stern polynomials and having coefficients 0 and 1 only. Shortly later, Adamczewski [142 (2010)] proved, inter alia, that G(α),G(α⁴) are algebraically independent for any algebraic α with 0 < |α| < 1. Our first key result is that F and G have large blocks of consecutive zero coefficients....