| Tartalmi leírás: |
An n-ary operation f : A(n) -> A is called cyclic if it is idempotent and f(a(1), a(2), a(3), ... , a(n)) = f(a(2), a(3), ... , a(n), a(1)) for every a(1), ... , a(n) is an element of A. We prove that every finite algebra A in a congruence modular variety has a p-ary cyclic term operation for any prime p greater than vertical bar A vertical bar.
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| Azonosító: |
Barto, Libor and Kozik, Marcin and Maróti, Miklós and McKenzie, Ralph and Niven, Todd (2009) Congruence modularity implies cyclic terms for finite algebras. Algebra Universalis, 61 (3-4). pp. 365-380. ISSN 0002-5240
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