Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 44, No. 1, pp. 263-283 (2003)

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L-Gruppoide: Algebraische und topologische Eigenschaften spezieller Gruppoide

W. Guggenberger and J. Rung

Burghausener Str. 2a, 80634 München, Germany, e-mail: guggenbergerw@aol.com; Katharina-Geisler-Str. 23, 85356 Freising, Germany

Abstract: In this paper we study groupoids with the following property: every element is idempotent and for all elements $a,b,c$ we have $(ab)c=ac$. We also obtain a few results if the operations are continuous or differentiable. Some open problems are formulated.

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