Congruences on free monoids and submonoids of polycyclic monoids
Copyright policy )Congruences on free monoids and submonoids of polycyclic monoids
AbstractWe establish a one-to-one “group-like” correspondence between congruences on a free monoid X* and so-called positively self-conjugate inverse submonoids of the polycyclic monoid P(X). This enables us to translate many concepts in semigroup theory into the language of inverse semigroups.
- University of Nebraska–Lincoln United States
word problem, polycyclic monoid, Free semigroups, generators and relations, word problems, inverse monoid, bicyclic monoid, positively self conjugate, Inverse semigroups, lattice of PSC-submonoids, Subalgebras, congruence relations, congruence lattice, General structure theory for semigroups, free monoid
word problem, polycyclic monoid, Free semigroups, generators and relations, word problems, inverse monoid, bicyclic monoid, positively self conjugate, Inverse semigroups, lattice of PSC-submonoids, Subalgebras, congruence relations, congruence lattice, General structure theory for semigroups, free monoid
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