The \(p_ n-\)sequences of idempotent algebras are strictly increasing

DOI10.1007/BF02483837zbMath0476.08005OpenAlexW4236818863MaRDI QIDQ1160208

Andrzej P. Kisielewicz

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf02483837

zbMATH Keywords

pn-sequencesidempotent algebrasn-ary polynomials

Mathematics Subject Classification ID

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

Related Items (7)

Minimal extensions of minimal representable sequences ⋮ On idempotent algebras with \(p_ n({\mathfrak A})=2n\) ⋮ Idempotent algebras with log-linear free spectra ⋮ Universal algebras ⋮ The \(p_ n\)-sequences of idempotent algebras are strictly increasing. II ⋮ Dedekind's numbers characterize distributive lattices ⋮ Characterization of \(p_ n\)-sequences for nonidempotent algebras

Cites Work

• On binary reducts of idempotent algebras
• On the number of polynomials of an idempotent algebra. I
• On algebras with \(n\) distinct essentially \(n\)-ary operations
• On algebraic operations in idempotent algebras
• Number of algebraic operations in idempotent groupoids

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