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Vector groupoid and Isometries | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 18, Issue 1, 2007, Pages 81-98 | ||
| Author | ||
| Abid Ali .Al-Taai | ||
| Abstract | ||
| The concept of groupoid considers as a generalization of the concept of group, and the notion of an action of groupoid generalizes the action of group relative to a bundle. In this paper we present the concept of groupoid into linear algebra using a structure of vector space, this groupoid namely " vector groupoid ". The purpose of this paper is to investigate many properties of vector groupoid comparable with that satisfy for groupoid in algebraic case ; also , we study these properties in a topological case using the concept of topological vector groupoid. Key words : Groupoid , Vector bundle , Isometries , Action of top. group and top. groupoid | ||
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