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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 1 - 27 (27page)
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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 structuresof this type. Constructions of such structures from 3-Lie algebras are provided. We alsodescribe ternary distributive algebraic structures coming from groups and give examplesfrom vector spaces whose bases are elements of a finite ternary distributive set. We introducea cohomology theory that is analogous to Hochschild cohomology and relate it to aformal deformation theory of these structures.
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참고문헌 (37)
참고문헌 신청
Arnlind J. / 2010 / Ternary Hom-Nambu-Lie algebras induced by Hom-Lie algebras / J. Math. Phys. 51(4):043515
Ammar F. / 2011 / Representations and cohomology of n-ary multiplicative Hom-Nambu-Lie algebras / J. Geom. Phys. 61(10):1898~1913
Ataguema H. / 2007 / Deformations of ternary algebras / Journal of Generalized Lie Theory and Applications 1:41~45
Ataguema H. / 2009 / Notes on cohomologies of ternary algebras of associative type / Journal of Generalized Lie Theory and Applications 3(3):154~174
Ataguema H. / 2009 / Generalization of n-ary Nambu algebras and beyond / J. Math. Phys. 50(8):083501
Ammar F. / 2011 / Representations and cohomology of n-ary multiplicative Hom-Nambu-Lie algebras / J. Geom. Phys. 61(10):1898~1913
Ataguema H. / 2007 / Deformations of ternary algebras / Journal of Generalized Lie Theory and Applications 1:41~45
Ataguema H. / 2009 / Notes on cohomologies of ternary algebras of associative type / Journal of Generalized Lie Theory and Applications 3(3):154~174
Ataguema H. / 2009 / Generalization of n-ary Nambu algebras and beyond / J. Math. Phys. 50(8):083501
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