BUCHSTEINER LOOPS-Reference-Cited by-同舟云学术

BUCHSTEINER LOOPS

Published:2009-12 Issue:08 Volume:19 Page:1049-1088
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

CSÖRGŐ PIROSKA¹,DRÁPAL ALEŠ²,KINYON MICHAEL K.³

Affiliation:

1. Department of Mathematics, Eötvös University, Pázmány Péter Sétöny 1/C, H-1117 Budapest, Hungary

2. Department of Mathematics, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Rep.

3. Department of Mathematics, University of Denver, 2360 S. Gaylord St., Denver, Colorado 80208, U.S.A.

Abstract

Buchsteiner loops are those which satisfy the identity x \ (xy · z) = (y · zx) / x. We show that a Buchsteiner loop modulo its nucleus is an abelian group of exponent four, and construct an example where the factor achieves this exponent.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196709005482

Reference27 articles.

1. On loops with a special property

2. Contributions to the theory of loops

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