Fundamental semigroups for local control sets
نویسندگان
چکیده
منابع مشابه
Fundamental Semigroups for Local Control Sets
In this paper we associate a semigroup to a locally maximal subset of complete controllability, i.e., a local control set. This fundamental semigroup is based on equivalence classes under homotopies in the set of trajectories. It reflects the structure of the set of closed (trajectory) loops in the local control set. We discuss the relations between different local control sets and prove a Van ...
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The construction by Hall of a fundamental orthodox semigroup WB from a band B provides an important tool in the study of orthodox semigroups. We present here a semigroup SB that plays the role of WB for a class of semigroups having a band of idempotents B. Specifically, the semigroups we consider are weakly B-abundant and satisfy the congruence condition (C). Any orthodox semigroup S with E(S) ...
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ژورنال
عنوان ژورنال: Annali di Matematica Pura ed Applicata
سال: 2005
ISSN: 0373-3114,1618-1891
DOI: 10.1007/s10231-004-0137-1