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Ternary and n-ary f-distributive structures

Ternary and n-ary f-distributive structures AbstractWe introduce and study ternary f-distributive structures, Ternary f-quandles and more generally their higher n-ary analogues. A classification of ternary f-quandles is provided in low dimensions. Moreover, we study extension theory and introduce a cohomology theory for ternary, and more generally n-ary, f-quandles. Furthermore, we give some computational examples. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Mathematics de Gruyter

Ternary and n-ary f-distributive structures

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Publisher
de Gruyter
Copyright
© 2018 Churchill et. al., published by De Gruyter
ISSN
2391-5455
eISSN
2391-5455
DOI
10.1515/math-2018-0006
Publisher site
See Article on Publisher Site

Abstract

AbstractWe introduce and study ternary f-distributive structures, Ternary f-quandles and more generally their higher n-ary analogues. A classification of ternary f-quandles is provided in low dimensions. Moreover, we study extension theory and introduce a cohomology theory for ternary, and more generally n-ary, f-quandles. Furthermore, we give some computational examples.

Journal

Open Mathematicsde Gruyter

Published: Feb 8, 2018

Keywords: Quandles; f -Distributive Structures; Ternary structures; Extensions; Cohomology; 20G10; 17A30; 17A40

References