Flocks in universal and Boolean algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 30 (2010) no. 1, pp. 45-69
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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.
Keywords:
combinators, elementary functions, closure system, interpolators, semi-affine lattice
@article{DMGAA_2010_30_1_a2,
author = {Ricci, Gabriele},
title = {Flocks in universal and {Boolean} algebras},
journal = {Discussiones Mathematicae. General Algebra and Applications},
pages = {45--69},
publisher = {mathdoc},
volume = {30},
number = {1},
year = {2010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGAA_2010_30_1_a2/}
}
Ricci, Gabriele. Flocks in universal and Boolean algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 30 (2010) no. 1, pp. 45-69. http://geodesic.mathdoc.fr/item/DMGAA_2010_30_1_a2/