Open Access
2007 On Steiner loops and power associativity
Palaniappan Kannappan
Banach J. Math. Anal. 1(2): 216-220 (2007). DOI: 10.15352/bjma/1240336219


In this paper we investiagte Steiner loops introduced by N.S. Mendelsohn [Aeq. Math. 6 (1991), 228-230] and provide six (seven) equivalent identities to characterize it. We also prove the power associativity of Bol loops by using closure (Hexagonal) conditions.


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Palaniappan Kannappan. "On Steiner loops and power associativity." Banach J. Math. Anal. 1 (2) 216 - 220, 2007.


Published: 2007
First available in Project Euclid: 21 April 2009

zbMATH: 1131.20052
MathSciNet: MR2366104
Digital Object Identifier: 10.15352/bjma/1240336219

Primary: 20N05

Keywords: Bol loop , closure condition , power associativity , Steiner loop

Rights: Copyright © 2007 Tusi Mathematical Research Group

Vol.1 • No. 2 • 2007
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