caa a22 4500 445344717 CHVBK 20180317142825.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s00233-010-9279-1 doi (NATIONALLICENCE)springer-10.1007/s00233-010-9279-1 Actions and partial actions of inductive constellations [Elektronische Daten] [Victoria Gould, Christopher Hollings] Constellations were recently introduced by the authors as one-sided analogues of categories: a constellation is equipped with a partial multiplication for which ‘domains' are defined but, in general, ‘ranges' are not. Left restriction semigroups are the algebraic objects modelling semigroups of partial mappings, equipped with local identities in the domains of the mappings. Inductive constellations correspond to left restriction semigroups in a manner analogous to the correspondence between inverse semigroups and inductive groupoids. In this paper, we define the notions of the action and partial action of an inductive constellation on a set, before introducing the Szendrei expansion of an inductive constellation. Our main result is a theorem which uses this expansion to link the actions and partial actions of inductive constellations, providing a global setting for results previously proved by a number of authors for groups, monoids and other algebraic objects. Springer Science+Business Media, LLC, 2010 Inductive constellation nationallicence Restriction semigroup nationallicence Radiant nationallicence Pre-radiant nationallicence Szendrei expansion nationallicence Gould Victoria Department of Mathematics, University of York, YO10 5DD, Heslington, York, UK aut Hollings Christopher Mathematical Institute, 24-29 St. Giles', OX1 3LB, Oxford, UK aut Semigroup Forum Springer-Verlag 82/1(2011-02-01), 35-60 0037-1912 82:1<35 2011 82 233 https://doi.org/10.1007/s00233-010-9279-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00233-010-9279-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gould Victoria Department of Mathematics, University of York, YO10 5DD, Heslington, York, UK aut NATIONALLICENCE 700 1- Hollings Christopher Mathematical Institute, 24-29 St. Giles', OX1 3LB, Oxford, UK aut NATIONALLICENCE 773 0- Semigroup Forum Springer-Verlag 82/1(2011-02-01), 35-60 0037-1912 82:1<35 2011 82 233 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer