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Medial idempotent groupoids III

Part of: Algebraic structures Other generalizations of groups

Published online by Cambridge University Press:  09 April 2009

Jung R. Cho  and
Józef Dudek
Jung R. Cho
Affiliation:
Department of Mathematics Pusan National universityPusan 609-735Korea e-mail: jungcho@hyowon.pusan.ac.kr
Józef Dudek
Affiliation:
Mathematical Institute University of Wroclawpl. Grunwaldzki 2/4 50-384 WroclawPoland e-mail: dudek@math.uni.wroc.pl
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Abstract

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As a sequel to the previous two papers of the second author, we investigate the structure of medial idempotent groupoids by Pn-sequences. To complete the series of research, this paper has theree purposes. First, we summarize some results in the previous papers so that this paper can cover the materials presented there. Secondly, using earlier results, we prove a few theorems which show the importance of the medial law in controlling the growth of Pn-sequences of groupoids. Finally, we state some problems and conjectures raised during the series of research.

MSC classification

Secondary: 08A40: Operations, polynomials, primal algebras 20N02: Sets with a single binary operation (groupoids)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 68 , Issue 3 , June 2000 , pp. 312 - 320
Copyright
Copyright © Australian Mathematical Society 2000

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