The description of dendriform algebra structures on two-dimensional complex space

QR Code

The description of dendriform algebra structures on two-dimensional complex space

In this paper, we classify all dendriform algebra structures on two-dimensional complex space. We distinguish twelve isomorphism classes (one parametric family and eleven concrete) of two-dimensional complex dendriform algebras, and show that they exhaust all possible cases.

Bibliographic Details
Main Authors:	M. Rikhsiboev, Ikrom, Sattarovich, Rakhimov Isamiddin, Basri, Witriany
Format:	Article
Language:	English
Published:	Scientific Advances Publisher 2010
Subjects:	Algebra Isomorphisms (Mathematics)
Online Access:	http://psasir.upm.edu.my/id/eprint/17045/ http://psasir.upm.edu.my/id/eprint/17045/1/The%20description%20of%20dendriform%20algebra%20structures%20on%20two.pdf

Similar Items

Isomorphism classes and invariants of finite dimensional filiform Leibniz algebras
by: Rakhimov, I. S., et al.
Published: (2011)

Four-dimensional nilpotent diassociative algebras
by: Basri, Witriany, et al.
Published: (2015)

Classification of 3-dimensional complex diassociative algebras
by: Rikhsiboev, Ikrom M., et al.
Published: (2010)

A survey of complex diassociative algebras
by: Basri, Witriany, et al.
Published: (2009)

Classification of three dimensional complex Leibniz algebras
by: Rikhsiboev, Ikrom M., et al.
Published: (2011)

The automorphism groups and derivation algebras of two-dimensional algebras
by: Houida, Ahmed, et al.
Published: (2018)

Diassociative algebras and their derivations
by: Rikhsiboev, Ikrom M., et al.
Published: (2014)

Classification of two-dimensional Jordan algebras
by: Ahmad, Houida, et al.
Published: (2017)

Classification and derivations of low-dimensional complex dialgebras
by: Basri, Witriany
Published: (2014)

On two-dimensional power associative algebras over algebraically closed fields and R
by: Ahmed, Houida, et al.
Published: (2019)

Classification of two-dimensional Jordan algebras over R
by: Bekbaev, Ural, et al.
Published: (2018)

Classification of second-class 10-dimensional complex filiform Leibniz algebras
by: Mohd Kasim, Suzila
Published: (2014)

Description of some classes of Leibniz algebras
by: Rakhimov, Isamiddin Sattarovich, et al.
Published: (2012)

Degenerations of low-dimensional complex Liebniz algebras
by: Mohamed, Nurul Shazwani
Published: (2023)

Petit algebras and their automorphisms
by: Brown, Christian
Published: (2018)

Classification of two-dimensional algebras using matrices of structure constants approach
by: Ahmed, Houida Mohammed Hussein
Published: (2020)

Combinatorial structure associated with low-dimensional filiform leibniz algebras
by: Ahmad Jamri, Ayu Ameliatul Shahilah
Published: (2017)

Centroids and derivations of low-dimensional Leibniz algebra
by: Said Husain, Sharifah Kartini, et al.
Published: (2016)

Central extension of low dimensional associative and Leibniz algebras
by: Ab Rahman, Nurnazhifa
Published: (2020)

Classification Of First Class 9-Dimensional Complex Filiform Leibniz Algebras
by: Obaiys, Sozan J.
Published: (2009)

On derivations of low-dimensional complex Leibniz algebras.
by: Sattarovich, Rakhimov Isamiddin, et al.
Published: (2011)

On isomorphisms and invariants of finite dimensional complex filiform Leibniz algebras
by: Sattarovich, Rakhimov Isamiddin, et al.
Published: (2010)

The classification of 6 dimensional complex filiform Leibniz algebras
by: Said Husain, Sharifah Kartini, et al.
Published: (2009)

On invariants of complex filiform Leibniz algebras
by: Rakhimov, Isamiddin Sattarovich
Published: (2009)

Cohomology spaces of low dimensional complex associative algebras
by: Mohammed, Nadia F., et al.
Published: (2017)

Contractions of low dimensional complex associative algebras
by: Mohammed, Nadia Faiq, et al.
Published: (2016)

On two-dimensional power associative algebras over algebraically closed fields and R
by: Hussein Ahmed, Houida Mohammed, et al.
Published: (2019)

Classification of two-dimensional Jordan algebras over R
by: Hussein, Ahmed Houida Mohammed, et al.
Published: (2018)

On description of Leibniz algebras corresponding to sl2
by: Omirov, B. A., et al.
Published: (2013)

On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras
by: Rakhimov, Isamiddin Sattarovich, et al.
Published: (2011)

Enveloping lie algebras of low dimensional leibniz algebras.
by: Amini, Massoud, et al.
Published: (2011)

Tensor products of nonassociative cyclic algebras
by: Pumpluen, Susanne
Published: (2016)

On low-dimensional filiform leibniz algebras and their invariants.
by: Sattarovich, Rakhimov Isamiddin, et al.
Published: (2011)

Complete classification of two-dimensional algebras
by: Ahmed, Houida, et al.
Published: (2017)

On derivations of low dimensional associative dialgebras
by: Fiidow, Mohamed Abubakar Hagi Mohamed, et al.
Published: (2013)

Classification of a subclass of filiform Leibniz algebra
by: Abdulkareem, Abdulafeez Olalekan
Published: (2014)

Bornological structures on some algebraic systems
by: Imran, Anwar Nooraldeen
Published: (2018)

Group actions and their applications in associative algebras and algebraic statistics
by: Mohammed, Nadia Faiq
Published: (2017)

Classification of non-lie complex filiform Leibniz algebras for low dimensions
by: Said Husain, Sharifah Kartini
Published: (2011)

Derivations of some classes of Leibniz algebras
by: Ahmed I, Al-Nashri Al-Hossain
Published: (2013)