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december 2012 A categorical approach to loops, neardomains and nearfields
Philippe Cara, Rudger Kieboom, Tina Vervloet
Bull. Belg. Math. Soc. Simon Stevin 19(5): 845-857 (december 2012). DOI: 10.36045/bbms/1354031553


In this paper we study loops, neardomains and nearfields from a categorical point of view. By choosing the right kind of morphisms, we can show that the category of neardomains is equivalent to the category of sharply 2-transitive groups. The other categories are also shown to be equivalent with categories whose objects are sets of permutations with suitable extra properties. Up to now the equivalence between neardomains and sharply 2-transitive groups was only known when both categories were equipped with the obvious isomorphisms as morphisms. We thank Hubert Kiechle for this observation.


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Philippe Cara. Rudger Kieboom. Tina Vervloet. "A categorical approach to loops, neardomains and nearfields." Bull. Belg. Math. Soc. Simon Stevin 19 (5) 845 - 857, december 2012.


Published: december 2012
First available in Project Euclid: 27 November 2012

zbMATH: 1279.20002
MathSciNet: MR3009019
Digital Object Identifier: 10.36045/bbms/1354031553

Primary: 12K05 , 16A89 , 16A90 , 20B22 , 20N05

Rights: Copyright © 2012 The Belgian Mathematical Society


Vol.19 • No. 5 • december 2012
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