Title
Fixed points of endomorphisms of trace monoids
Abstract
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. Silva114129.42
Emanuele Rodaro25515.63