Ternary and $n$-ary $f$-distributive Structures

A. Makhlouf; Indu R. U. Churchill; M. Elhamdadi; M. Green

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Ternary and n-ary f-distributive Structures

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arxiv 1704.08407 v1 pith:JNFTNRVB submitted 2017-04-27 math.AT

Ternary and n-ary f-distributive Structures

Indu R. U. Churchill , M. Elhamdadi , M. Green , A. Makhlouf This is my paper

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keywords ternaryquandlesdistributivegenerallyintroducestructurestheoryanalogues

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We 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.

Ternary and n-ary f-distributive Structures

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