Associative idempotent nondecreasing functions are reducible

DOI10.1007/s00233-018-9973-yzbMath1441.20043arXiv1707.04341OpenAlexW2963591197MaRDI QIDQ1731811

Gergely Kiss, Gábor Somlai

Publication date: 14 March 2019

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.04341

zbMATH Keywords

reducibilityidempotentneutral elementassociativityextremality\(n\)-ary semigroupquasitriviality

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) (n)-ary systems ((nge 3)) (20N15)

Related Items (5)

Associative, idempotent, symmetric, and order-preserving operations on chains ⋮ Visual characterization of associative quasitrivial nondecreasing operations on finite chains ⋮ Every quasitrivial \(n\)-ary semigroup is reducible to a semigroup ⋮ On the structure of symmetric n-ary bands ⋮ Reducibility of \(n\)-ary semigroups: from quasitriviality towards idempotency

Cites Work

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• A characterization of \(n\)-associative, monotone, idempotent functions on an interval that have neutral elements
• Integer valued means
• Associative monotonic operations in fuzzy set theory
• Characterizations of quasitrivial symmetric nondecreasing associative operations
• Aczélian \(n\)-ary semigroups

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