[图书][B] Function algebras on finite sets: Basic course on many-valued logic and clone theory

D Lau - 2006 - books.google.com
Functions which are defined on finite sets occur in almost all fields of mathematics. For more
than 80 years algebras whose universes are such functions (so-called function algebras) …

[PDF][PDF] Minimal clones—a minicourse

B Csákány - Algebra Universalis, 2005 - math.u-szeged.hu
Minimal clones—a minicourse Page 1 ■ irebra univers. 54 (2005) 73-89 «¿2-5240/05/010073
- 17 noi 10.1007/S00012-005-1924-2 | ©Birkhäuser Verlag, Basel, 2005 | Algebra Universalis …

Oligomorphic clones

M Bodirsky, H Chen - Algebra Universalis, 2007 - Springer
A permutation group on a countably infinite domain is called oligomorphic if it has finitely
many orbits of finitary tuples. We define a clone on a countable domain to be oligomorphic if …

[PDF][PDF] Commuting polynomial operations of distributive lattices

M Behrisch, M Couceiro, KA Kearnes… - Order: A Journal on the …, 2012 - orbilu.uni.lu
[en] We describe which pairs of distributive lattice polynomial operations commute.
Disciplines: Mathematics Identifiers: UNILU: UL-ARTICLE-2012-533 Author, co-author …

Some Polynomials Generating Minimal Clones.

H Machida, M Pinsker - Journal of Multiple-Valued Logic & …, 2007 - search.ebscohost.com
A minimal clone is an atom of the lattice of clones. A minimal function is a function which
generates a minimal clone. We consider the base set with k elements for a prime k as a finite …

Differential modes

AV Kravchenko, A Pilitowska… - … Journal of Algebra …, 2008 - World Scientific
Modes are idempotent and entropic algebras. Although it had been established many years
ago that groupoid modes embed as subreducts of semimodules over commutative …

Majority and other polynomials in minimal clones

H Machida, T Waldhauser - 38th International Symposium on …, 2008 - ieeexplore.ieee.org
A minimal clone is an atom of the lattice of clones. A minimal function is, briefly saying, a
function which generates a minimal clone. For a prime power k we consider the base set …

Almost associative operations generating a minimal clone

T Waldhauser - arXiv preprint arXiv:1102.2127, 2011 - arxiv.org
Characterizations of" almost associative" binary operations generating a minimal clone are
given for two interpretations of the term" almost associative". One of them uses the …

Polynomials as generators of minimal clones

H Machida, M Pinsker - … on Multiple-Valued Logic (ISMVL'07), 2007 - ieeexplore.ieee.org
A minimal clone is an atom of the lattice of clones. A minimal function is a function which
generates a minimal clone. We consider the base set with k elements, for a prime k, as a …

Minimal clones with weakly abelian representations

T Waldhauser - arXiv preprint arXiv:1102.2081, 2011 - arxiv.org
arXiv:1102.2081v1 [math.RA] 10 Feb 2011 Page 1 arXiv:1102.2081v1 [math.RA] 10 Feb 2011
MINIMAL CLONES WITH WEAKLY ABELIAN REPRESENTATIONS TAMÁS WALDHAUSER …