KaydedilenlerDerginizi ekleyin

Dergiler / Mathematical Sciences and Applications E-Notes / 2019 / Cilt: 7 - Sayı: 1

Some Constructions of Color Hom-Novikov-Poisson Algebras

Sylvain ATTAN
Sayfa
78–86
Yayın Tarihi
2022-10-19
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Many constructions of color Hom-Novikov-Poisson algebras are given either fromcolor Novikov-Poisson algebras or from ε-commutative Hom-associative color algebras.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The aim of this paper is to introduce color Hom-Novikov-Poisson algebras which generalize color HomNovikov algebras.
📊
Temel Bulgular & Veri:The aim of this paper is to introduce color Hom-Novikov-Poisson algebras which generalize color HomNovikov algebras.
💡
Sonuç & Katkı:Many constructions of color Hom-Novikov-Poisson algebras are given either fromcolor Novikov-Poisson algebras or from ε-commutative Hom-associative color algebras.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

The aim of this paper is to introduce color Hom-Novikov-Poisson algebras which generalize color HomNovikov algebras. Many constructions of color Hom-Novikov-Poisson algebras are given either fromcolor Novikov-Poisson algebras or from ε-commutative Hom-associative color algebras.

🔖

Bu Makaleye Atıf Yap

ATTAN, S. (2022). Some Constructions of Color Hom-Novikov-Poisson Algebras. Mathematical Sciences and Applications E-Notes, Cilt: 7 - Sayı: 1, 78–86. https://ajindex.com/articles/578863

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (20)

  1. Ammar,F. and Makhlouf, A., Hom-Lie and Hom-Lie-admissible superalgebras, J. algebra. 32(2010), no. 7, 1513-1528
  2. Attan, S., Some characterisations of color Hom-Poisson algebras, Hacet. J. Math. Stat. 47(2018), no. 6, 1552-1563 [3] Bakayoko, I., Hom-Novikov color algebras, Arxiv: 1609.07813v1
  3. Bergen, J. and Grzeszuk, P., Simple Jordan color algebras arising from associative graded algebras, J. algebra. 246(2001), no. 2, 915-950
  4. Gao, X. and Xu, L., Novikov color algebras and Torkten color algebras, Journal of Jilin University. 54(2016), no. 2, 197-201
  5. Gel’fand, I.M. and Dorfman, I.Ya., Hamiltonian operators and algebraic structures related to them, Funct. Anal, App. 13(1979), 248-262
  6. Hartwig, J. T., Larsson, D. and Silvestrov, S.D., Deformations of Lie algebras using σ-derivations, J. Algebra. 295(2006), no. 2, 314-361
  7. Larsson, D. and Silvestrov, S.D., Quasi-Hom-Lie algebras, central extensions and 2-cycle-like identities, J. Algebra. 288(2005), no. 2, 321-344
  8. Larsson, D. and Silvestrov, S.D., Quasi-Lie algebras, Noncommutative Geometry and representation Theory in Mathematical physics. cotemp. Math., 391, Amer. Math. Soc., Providence, RI. 2005, 241-248
  9. Makhlouf, A. and Silvestrov, S.D., Hom-algebras structures, J. Gen. Lie theory Appl. 2(2008), no. 2, 51-64
  10. Quingcheng, Z. and Yongzeng, Z., Derivations and extensions of lie color algebra, Acta Mathematica Scienta. 28(2008), no. 4, 933-948
  11. Wang, C., Zhang, Q. and Wei, Z., Hom-Leibniz superalgebras and Hom-Leibniz-Poisson superalgebras, Hacet. J. Math. Stat. 44(2015), no.5, 1163-1179
  12. Xu, X., On simple Novikov algebras and their irreducible modules, J. Algebra. 185(1996), no. 3, 905-934
  13. Xu, X., Novikov-Poisson algebras, J. algebra. 190(1997), no. 2, 253-279
  14. Xu, X., Variational calculus of supervariables and related algebraic structures, J. Algebra. 223(2000), no. 2, 396-437
  15. Yau, D., Hom-algebras and homology, J. Lie theory. 19(2009), no. 2, 409-421
  16. Yau, D., Hom-Novikov algebras, J. Phys. A. 44(2011), no. 8 085202
  17. Yau, D., A twisted generalization of Novikov-poisson algebras, Arxiv: 1010.3410v1
  18. Yu, H., Zhang, W., Jia, Z. and Zhang, Q., Hom-Novikov-Poisson superalgebras, Journal of Jilin University (Science Edition). 53(2015), no. 4, 606-610
  19. Yuan, L., Hom-Lie color algebra structures, Comm. Alg. 40(2012), no. 2, 575-592
  20. Yuan, L. M., Chen, S. and He, C.X., Hom-Gel’fand-Dorfman super-bialgebras and Hom-Lie