On diagonal acts of monoids
Copyright policy )On diagonal acts of monoids
It is proved that the monoid RN of all partial recursive functions of one variable is finitely generated, and that RN × RNis a cyclic (left and right) RN-act (under the natural diagonal actions s (a, b) = (sa, sb), (a, b) s = (as, bs)). We also construct a finitely presented monoid S such that S × S is a cyclic left and right S-act, and study further interesting properties of diagonal acts and their relationship with power monoids.
- University of St Andrews United Kingdom
diagonal acts, power monoids, Free semigroups, generators and relations, word problems, finitely presented monoids, finitely generated monoids, Representation of semigroups; actions of semigroups on sets, Recursive functions and relations, subrecursive hierarchies, Semigroups of transformations, relations, partitions, etc., monoids of partial recursive functions, bi-acts, cyclic acts
diagonal acts, power monoids, Free semigroups, generators and relations, word problems, finitely presented monoids, finitely generated monoids, Representation of semigroups; actions of semigroups on sets, Recursive functions and relations, subrecursive hierarchies, Semigroups of transformations, relations, partitions, etc., monoids of partial recursive functions, bi-acts, cyclic acts
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