Note on Jordan Groupoids

Author： Katrnoska Frantisek  

Publisher： Springer Publishing Company

ISSN： 0020-7748

Source： International Journal of Theoretical Physics, Vol.43, Iss.7-8, 2004-08, pp. : 1659-1666

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Abstract

This paper is a continuation of a previous article by the author (Katrnoska, F., 1995, International Journal of Theoretical Physics, 34(8), 1501–1505). It contains some further results that concern the left and right Jordan groupoids. An investigation is presented of the relation between the rings with identities and their corresponding left (right) Jordan groupoids. Orthoposets give examples of Jordan groupoids, hence the results obtained may find an application in the foundation of quantum theory.

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