Lie Central Triple Racks

Biyogmam, Guy Roger

doi:10.24330/ieja.266212

International Electronic Journal of Algebra

2015

DOI: 10.24330/ieja.266212

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Lie Central Triple Racks

Guy Roger Biyogmam¹

Abstract: Abstract. This paper introduces Lie c-triple racks. These triple systems generalize both left and right racks to ternary algebras, and locally differentiates to gb-triple systems [3].Mathematics Subject Classification (2010): 05B07, 18E10, 17A99

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Ternary Distributive Structures and Quandles

Elhamdadi

Green

Makhlouf

2016

Kyungpook mathematical journal

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We introduce a notion of ternary distributive algebraic structure, give examples, and relate it to the notion of a quandle. Classification is given for low order structures of this type. Constructions of such structures from ternary bialgebras are provided. We also describe ternary distributive algebraic structures coming from groups and give examples from vector spaces whose bases are elements of a finite ternary distributive set. We introduce a cohomology theory that is analogous to Hochschild cohomology and relate it to a formal deformation theory of these structures.

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Ternary Distributive Structures and Quandles

Elhamdadi

Green

Makhlouf

2016

Kyungpook mathematical journal

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Assessment of Students’ Conceptual Understanding of Mathematics:

Ota

2021

Kyoiku shinrigaku kenkyu

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Lie Central Triple Racks

Abstract: Abstract. This paper introduces Lie c-triple racks. These triple systems generalize both left and right racks to ternary algebras, and locally differentiates to gb-triple systems [3].Mathematics Subject Classification (2010): 05B07, 18E10, 17A99

Cited by 2 publications

References 10 publications

Ternary Distributive Structures and Quandles

Ternary Distributive Structures and Quandles

Assessment of Students’ Conceptual Understanding of Mathematics:

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