LEFT-HOM-SYMMETRIC AND HOM-POISSON DIALGEBRAS

Bakayoko I.; Bangoura M.

Makale detayları

LEFT-HOM-SYMMETRIC AND HOM-POISSON DIALGEBRAS

Yazarlar:

Bakayoko I. | Bangoura M.

Yayıncı:

Mehmet Zeki SARIKAYA

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Konuralp Journal of Mathematics 2015 Vol.3 Issue 2, pp.42-53

Belge Tipi:

Makale

Yayın Tarihi:

9/2015

Belge Dili:

İngilizce

Document ID (Org No.):

2000536635

Sıklık:

İki Yıllık

eISSN:

2147-625X

Özet:

 


The aim of this paper is to introduce left-Hom-symmetric dial- gebras (which contain left-Hom-symmetric algebras or Hom-preLie algebras and Hom-dialgebras as special cases) and Hom-Poisson dialgebras. We give some examples and some construction theorems by using the composition con- struction. We prove that the commutator bracket of any left-Hom-symmetric dialgebra provides Hom-Leibniz algebra. We also prove that bimodules over Hom-dialgebras are closed under twisting. Next, we show that bimodules over Hom-dendriform algebras D extend to bimodules over the left-Hom-symmetric algebra associated to D. Finally, we give some examples of Hom-Poisson dial- gebras and prove that the commutator bracket of any Hom-dialgebra structure map leads to Hom-Poisson dialgebra.

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Makale detayları

LEFT-HOM-SYMMETRIC AND HOM-POISSON DIALGEBRAS

Yazarlar: Bakayoko I. | Bangoura M.

Yayıncı: Mehmet Zeki SARIKAYA

Ana Başlıklar: Uygulamalı fizik

Dergi: Konuralp Journal of Mathematics 2015 Vol.3 Issue 2, pp.42-53

Belge Tipi: Makale

Yayın Tarihi: 9/2015

Belge Dili: İngilizce

Document ID (Org No.): 2000536635

Sıklık: İki Yıllık

eISSN: 2147-625X

Sayı

Yazarlar:

Bakayoko I. | Bangoura M.

Yayıncı:

Mehmet Zeki SARIKAYA

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Konuralp Journal of Mathematics 2015 Vol.3 Issue 2, pp.42-53

Belge Tipi:

Makale

Yayın Tarihi:

9/2015

Belge Dili:

İngilizce

Document ID (Org No.):

2000536635

Sıklık:

İki Yıllık

eISSN:

2147-625X