A note on the fixed point for the polynomials of a boolean algebra with an operator of endomorphism
Giuliana Gnani, Giuliano Mazzanti (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Giuliana Gnani, Giuliano Mazzanti (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Robert Lagrange (1974)
Colloquium Mathematicae
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Sergio A. Celani (2001)
Mathematica Bohemica
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In this paper we introduce the class of Boolean algebras with an operator between the algebra and the set of ideals of the algebra. This is a generalization of the Boolean algebras with operators. We prove that there exists a duality between these algebras and the Boolean spaces with a certain relation. We also give some applications of this duality.
Cecylia Rauszer
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CONTENTSIntroduction............................................................................... 5Chapter I. Semi-Boolean algebras 1. Semi-Boolean algebras....................................... 8 2. Q-filters in semi-Boolean algebras............................ 11 3. Extensions of semi-Boolean algebras...................... 15Chapter II. Algebraic and semantic modelsfor Heyting-Brouwer logic 1. Preliminaries.......................................................... 17 2. Algebraic...
Roman Sikorski (1963)
Colloquium Mathematicae
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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.
Paul R. Halmos (1954-1956)
Compositio Mathematica
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Dimitrii E. Pal'chunov, Alain Touraille (1992)
Annales scientifiques de l'Université de Clermont. Mathématiques
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