A notion of open generalized morphism that carries amenability.
Buneci, Mădălina Roxana (2005)
Acta Universitatis Apulensis. Mathematics - Informatics
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Buneci, Mădălina Roxana (2005)
Acta Universitatis Apulensis. Mathematics - Informatics
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Glavosits, Tamás, Száz, Árpád (2002)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Petrescu, Adrian (2005)
Acta Universitatis Apulensis. Mathematics - Informatics
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Wainberg, Dorin (2006)
Acta Universitatis Apulensis. Mathematics - Informatics
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Přemysl Jedlička (2005)
Commentationes Mathematicae Universitatis Carolinae
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We study the groupoids satisfying both the left distributivity and the left idempotency laws. We show that they possess a canonical congruence admitting an idempotent groupoid as factor. This congruence gives a construction of left idempotent left distributive groupoids from left distributive idempotent groupoids and right constant groupoids.
Tu, Jean-Louis (2004)
Documenta Mathematica
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J. Gałuszka (1999)
Colloquium Mathematicae
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We give an equational description of all idempotent groupoids with at most three essentially n-ary term operations.
Ephrem, Menassie (2011)
The New York Journal of Mathematics [electronic only]
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Brown, R., Moore, E.J., Porter, T., Wensley, C.D. (2002)
Georgian Mathematical Journal
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Klaus Thomsen (2010)
Annales de l’institut Fourier
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We associate a -algebra to a locally compact Hausdorff groupoid with the property that the range map is locally injective. The construction generalizes J. Renault’s reduced groupoid -algebra of an étale groupoid and has the advantage that it works for the groupoid arising from a locally injective dynamical system by the method introduced in increasing generality by Renault, Deaconu and Anantharaman-Delaroche. We study the -algebras of such groupoids and give necessary and sufficient...