scientific article; zbMATH DE number 5180930

zbMath1126.20048MaRDI QIDQ5755170

Wiesław A. Dudek, V. V. Mukhin

Publication date: 20 August 2007

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zbMATH Keywords

\(n\)-ary semigroupsneutral elementsderived from binary semigroupderived \(n\)-semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Loops, quasigroups (20N05) (n)-ary systems ((nge 3)) (20N15)

Related Items (11)

Associative, idempotent, symmetric, and order-preserving operations on chains ⋮ On \((n,m)\)-semigroups. ⋮ Visual characterization of associative quasitrivial nondecreasing operations on finite chains ⋮ Associative idempotent nondecreasing functions are reducible ⋮ Characterizations of quasitrivial symmetric nondecreasing associative operations ⋮ Unnamed Item ⋮ Aczélian \(n\)-ary semigroups ⋮ Every quasitrivial \(n\)-ary semigroup is reducible to a semigroup ⋮ A characterization of \(n\)-associative, monotone, idempotent functions on an interval that have neutral elements ⋮ On the structure of symmetric n-ary bands ⋮ Reducibility of \(n\)-ary semigroups: from quasitriviality towards idempotency

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