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Multiplayer Rock-Paper-Scissors
Published 18 Mar 2019 in math.RA | (1903.07252v3)
Abstract: We study a class of algebras we regard as generalized Rock-Paper-Scissors games. We determine when such algebras can exist, show that these algebras generate the varieties generated by hypertournament algebras, count these algebras, study their automorphisms, and determine their congruence lattices. We produce a family of finite simple algebras.
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