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Displaying similar documents to “Boolean groupoids”

A groupoid characterization of Boolean algebras

Ivan Chajda (2004)

Discussiones Mathematicae - General Algebra and Applications

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We present a groupoid which can be converted into a Boolean algebra with respect to term operations. Also conversely, every Boolean algebra can be reached in this way.

The elementary-equivalence classes of clopen algebras of P-spaces

Brian Wynne (2008)

Fundamenta Mathematicae

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Two Boolean algebras are elementarily equivalent if and only if they satisfy the same first-order statements in the language of Boolean algebras. We prove that every Boolean algebra is elementarily equivalent to the algebra of clopen subsets of a normal P-space.

On Semi-Boolean-Like Algebras

Antonio Ledda, Francesco Paoli, Antonino Salibra (2013)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In a previous paper, we introduced the notion of Boolean-like algebra as a generalisation of Boolean algebras to an arbitrary similarity type. In a nutshell, a double-pointed algebra 𝐀 with constants 0 , 1 is Boolean-like in case for all a ∈ A the congruences θ a , 0 and θ a , 1 are complementary factor congruences of 𝐀 . We also introduced the weaker notion of semi-Boolean-like algebra, showing that it retained some of the strong algebraic properties characterising Boolean algebras. In this paper, we continue...