Abstract | ||
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It is proved that the fixed point submonoid and the periodic point submonoid of a trace monoid endomorphism are always finitely generated. If the dependence alphabet is a transitive forest, it is proved that the set of regular fixed points of the (Scott) continuous extension of an endomorphism to real traces is Omega-rational for every endomorphism if and only if the monoid is a free product of free commutative monoids. |
Year | DOI | Venue |
---|---|---|
2012 | 10.1007/s00233-013-9553-0 | SEMIGROUP FORUM |
Keywords | Field | DocType |
Trace monoid,Real traces,Endomorphism,Fixed point,Periodic point | Topology,Algebra,Periodic point,Trace monoid,Monoid,Syntactic monoid,Fixed point,Free monoid,Trace theory,Mathematics,Endomorphism | Journal |
Volume | Issue | ISSN |
89.0 | 1 | 0037-1912 |
Citations | PageRank | References |
1 | 0.40 | 8 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Pedro V. Silva | 1 | 141 | 29.42 |
Emanuele Rodaro | 2 | 55 | 15.63 |