Novikov Color代数与Tortken Color代数

Abstract

Abstract:

Three concepts of Novikov color algebra, Tortken color algebra and Jordan color algebra were defined, then the relations among three algebras were discussed. We gave the basic properties of Novikov color algebra and Tortken color algebra. Then we proved a Tortken color algebra with an identity
element is both associative and color commutative. We also showed how to use Novikov color algebra to construct a Tortken color algebra.

Key words: Novikov color algebra, Tortken color algebra, color algebra, derivation

CLC Number:

O152.5

GAO Xiujuan, XU Liyuan. Novikov Color Algebra and Tortken Color Algebra[J].Journal of Jilin University Science Edition, 2016, 54(02): 197-201.

[1]	CHEN Minglu, CAO Yan. Generalized Derivations of Multiplicative BiHom-Poisson Color Algebras [J]. Journal of Jilin University Science Edition, 2023, 61(4): 724-732.
[2]	TENG Wen, YOU Taijie. Cohomology and Deformations of 3-Lie-Rinehart Color Algebras [J]. Journal of Jilin University Science Edition, 2022, 60(1): 35-0043.
[3]	MA Lili, DAI Di, LI Qiang, WANG Xiaoyan. T*-Extensions of δ-Hom-Jordan Lie Color Algebras [J]. Journal of Jilin University Science Edition, 2021, 59(4): 855-859.
[4]	KONG Liang, ZHANG Jianhua. A Class of Nonglobal Derivable Maps on Prime Rings [J]. Journal of Jilin University Science Edition, 2019, 57(5): 1003-1006.
[5]	CAO Yan. Quasiderivations of Lie Color Triple Systems [J]. Journal of Jilin University Science Edition, 2019, 57(04): 849-852.
[6]	ZHANG Jian, CAO Yan. Generalized Derivations of Lie Color Triple Systems [J]. Journal of Jilin University Science Edition, 2017, 55(06): 1403-1406.
[7]	MENG Lihua, ZHANG Jianhua. A Class of Local Derivable Nonlinear Maps on Triangular Algebras [J]. Journal of Jilin University Science Edition, 2017, 55(01): 43-47.
[8]	WANG Han, FENG Chen, NI Yaping, ZHANG Qingcheng. Hom\\|Nijienhuis Operator of Hom δ-Jordan Lie Color Algebras [J]. Journal of Jilin University Science Edition, 2016, 54(05): 963-968.
[9]	HUANG Shuliang. An Identity with Derivations in Prime Rings [J]. Journal of Jilin University Science Edition, 2016, 54(03): 518-520.
[10]	ZHANG Fangjuan, SHI Donghe, WANG Lihong. P Point *Lie Derivation of Factor von Neumann Algebra [J]. Journal of Jilin University Science Edition, 2015, 53(05): 909-913.
[11]	GAO Qi, WANG Cong, ZHANG Qingcheng. Leibniz Color Algebra and Leibniz Poisson Color Algebra [J]. Journal of Jilin University Science Edition, 2014, 52(02): 173-178.
[12]	TU Wei-Yan, ZHANG Jian-Hua. (α,β)-Biderivations on Nest Algebras [J]. J4, 2010, 07(4): 574-578.
[13]	ZHANG Min, WU Wei, WANG Yu. Derivations with Powercocentralizing Values on Lie Ideal [J]. J4, 2006, 44(03): 347-350.

Novikov Color Algebra and Tortken Color Algebra

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 13

Metrics

Comments

Recommended 10