Sebastian Kreinecker,
"Closed Function Sets on Groups of Prime Order"
, in Journal of Multiple-Valued Logic and Soft Computing (MVLSC), Vol. 33, Nummer 1-2, Old City Publishing, Seite(n) 51-74, 2019, ISSN: 1542-3980
Original Titel:
Closed Function Sets on Groups of Prime Order
Sprache des Titels:
Englisch
Original Kurzfassung:
We give a full description of all sets of functions on the group (?p,+) of prime order which are closed under the composition with the clone generated by + from both sides. Thereby, we also get a description of all iterative algebras on ?p which are closed under the composition with the clone generated by + from both sides. As another consequence, there are infinitely many non finitely generated clones above Clo(?p × ?p,+) for p > 2.
Sprache der Kurzfassung:
Englisch
Journal:
Journal of Multiple-Valued Logic and Soft Computing (MVLSC)