On essential variables of dual operations and the consequences for operations

DOI10.1007/s00012-013-0234-3zbMath1284.08007OpenAlexW2135039967MaRDI QIDQ364683

Sebastian Kerkhoff

Publication date: 9 September 2013

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-013-0234-3

zbMATH Keywords

distributive latticesduality theorymedian algebrasbounded posetsarity gapBoolean groupsbounded strongly complemented posetsdual operationessential arityessential variable

Mathematics Subject Classification ID

Operations and polynomials in algebraic structures, primal algebras (08A40)

Related Items

Dualizing clones as models of Lawvere theories. ⋮ A short introduction to clones. ⋮ The minor order of homomorphisms via natural dualities ⋮ Dualizing clones into categories of topological spaces.

Cites Work

• Essential operations in centralizer clones
• A generalization of the duality compactness theorem
• Essential arities of term operations in finite algebras
• Median Algebra
• ON DUALIZING CLONES AS LAWVERE THEORIES
• Representation of Distributive Lattices by means of ordered Stone Spaces
• Topological representations of distributive lattices and Brouwerian logics
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