Affine complete algebras abstracting Kleene and Stone algebras.
Haviar, M. (1993)
Acta Mathematica Universitatis Comenianae. New Series
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Haviar, M. (1993)
Acta Mathematica Universitatis Comenianae. New Series
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Vladimir Kuchmei (2002)
Mathematica Slovaca
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D. Dorninger, G. Eigenthaler (1982)
Banach Center Publications
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Ján Jakubík (1995)
Czechoslovak Mathematical Journal
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Gabriele Ricci (2010)
Discussiones Mathematicae - General Algebra and Applications
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We propose the notion of flocks, which formerly were introduced only in based algebras, for any universal algebra. This generalization keeps the main properties we know from vector spaces, e.g. a closure system that extends the subalgebra one. It comes from the idempotent elementary functions, we call "interpolators", that in case of vector spaces merely are linear functions with normalized coefficients. The main example, we consider outside vector spaces, concerns...
Miroslav Kolařík (2008)
Discussiones Mathematicae - General Algebra and Applications
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We consider algebras determined by all normal identities of basic algebras. For such algebras, we present a representation based on a q-lattice, i.e., the normalization of a lattice.
Lutz Heindorf (1992)
Commentationes Mathematicae Universitatis Carolinae
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We prove what the title says. It then follows that zero-dimensional Dugundji space are supercompact. Moreover, their Boolean algebras of clopen subsets turn out to be semigroup algebras.