On partially ordered algebras I
L. Fuchs (1966)
Colloquium Mathematicae
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Displaying similar documents to “Number of polynomials in ordered algebras”
On partially ordered algebras I
Number of polynomials in dependence preserving algebras
J. Dudek (1971)
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Fourier series of functions involving higher-order ordered Bell polynomials
Taekyun Kim, Dae San Kim, Gwan-Woo Jang, Lee Chae Jang (2017)
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In 1859, Cayley introduced the ordered Bell numbers which have been used in many problems in number theory and enumerative combinatorics. The ordered Bell polynomials were defined as a natural companion to the ordered Bell numbers (also known as the preferred arrangement numbers). In this paper, we study Fourier series of functions related to higher-order ordered Bell polynomials and derive their Fourier series expansions. In addition, we express each of them in terms of Bernoulli functions. ...
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Taekyun Kim, Orli Herscovici, Toufik Mansour, Seog-Hoon Rim (2016)
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In this paper, we present differential equation for the generating function of the p, q-Touchard polynomials. An application to ordered partitions of a set is investigated.
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Representation-tame incidence algebras of finite posets
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Continuing the paper [Le], we give criteria for the incidence algebra of an arbitrary finite partially ordered set to be of tame representation type. This completes our result in [Le], concerning completely separating incidence algebras of posets.
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Applications of the scarcity theorem in ordered Banach algebras
Sonja Mouton (2014)
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We apply Aupetit's scarcity theorem to obtain stronger versions of many spectral-theoretical results in ordered Banach algebras in which the algebra cone has generating properties.
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We define and investigate Ringel-Hall algebras of coalgebras (usually infinite-dimensional). We extend Ringel's results [Banach Center Publ. 26 (1990) and Adv. Math. 84 (1990)] from finite-dimensional algebras to infinite-dimensional coalgebras.
Dualities for Stone algebras, double Stone algebras, and relative Stone algebras
Brian A. Davey (1982)
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