Tail and free poset algebras.

Mohamed Bekkali; Driss Zhani

Displaying similar documents to “Tail and free poset algebras.”

Lectures on cylindric set algebras

J. Monk (1993)

Banach Center Publications

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Computational details-appendix to the article “Cartan matrices of selfinjective algebras of tubular type”

Jerzy Białkowski (2004)

Open Mathematics

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Isotone analogs of results by Mal'tsev and Rosenberg.

Larose, Benoit (2005)

Beiträge zur Algebra und Geometrie

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Directoids with an antitone involution

Ivan Chajda, Miroslav Kolařík (2007)

Commentationes Mathematicae Universitatis Carolinae

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We investigate $⊓$ -directoids which are bounded and equipped by a unary operation which is an antitone involution. Hence, a new operation $⊔$ can be introduced via De Morgan laws. Basic properties of these algebras are established. On every such an algebra a ring-like structure can be derived whose axioms are similar to that of a generalized boolean quasiring. We introduce a concept of symmetrical difference and prove its basic properties. Finally, we study conditions of direct decomposability...

Determination of endomorphisms of free metabelian Lie algebras.

Chirkov, I.V., Shevelin, M.A. (2000)

Siberian Mathematical Journal

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On algebras of relations

D. Bredikhin (1993)

Banach Center Publications

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Complete description of substitutions in cylindric algebras and other algebraic logics

Richard Thompson (1993)

Banach Center Publications

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Finitely generated almost universal varieties of 0-lattices.

Koubek, V., Sichler, J. (2005)

Commentationes Mathematicae Universitatis Carolinae

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Cellularity of free products of Boolean algebras (or topologies)

Saharon Shelah (2000)

Fundamenta Mathematicae

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The aim this paper is to present an answer to Problem 1 of Monk [10], [11]. We do this by proving in particular that if μ is a strong limit singular cardinal, $θ = {(2^{c f (μ)})}^{+}$ and $2^{μ} = μ^{+}$ then there are Boolean algebras $𝔹_{1}, 𝔹_{2}$ such that $c (𝔹_{1}) = μ, c (𝔹_{2}) < θ b u t c (𝔹_{1} * 𝔹_{2}) = μ^{+}$ . Further we improve this result, deal with the method and the necessity of the assumptions. In particular we prove that if $𝔹$ is a ccc Boolean algebra and $μ^{ℶ_{ω}} \leq λ = c f (λ) \leq 2^{μ}$ then $𝔹$ satisfies the λ-Knaster condition (using the “revised GCH theorem”).

Implicit operations on the categories of universal algebras.

Pinus, A.G. (2009)

Sibirskij Matematicheskij Zhurnal

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Ideals of free metabelian Lie algebras and primitive elements.

Chirkov, I.V., Shevelin, M.A. (2001)

Sibirskij Matematicheskij Zhurnal

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