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CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS

Yıl 2020, Cilt: 27 Sayı: 27, 127 - 146, 07.01.2020

Anton Cedilnik Marjan Jerman

https://doi.org/10.24330/ieja.662996
Cited By: 2

Öz

The classification of three-dimensional zeropotent algebras over an arbitrary field is given. It is complete up to the individual properties of the ground field.

Anahtar Kelimeler

Zeropotent algebra anti-commutative algebra non-associative algebra Lie algebra

Kaynakça

  • A. Fowler-Wright, The Classification of Three-Dimensional Lie Algebras, Ph.D. Thesis, The University of Warwick, Coventry, 2014.
  • Y. Kobayashi, K. Shirayanagi, S. Takahasi and M. Tsukada, Classification of three-dimensional zeropotent algebras over an algebraically closed field, Comm. Algebra, 45(12) (2017), 5037-5052.
  • E. N. Kuzmin, Binary Lie algebras of small dimension, Algebra and Logic, 37(3) (1998), 181-186.
  • K. Shirayanagi, S. Takahasi, M. Tsukada and Y. Kobayashi, Classification of three-dimensional zeropotent algebras over the real number eld, Comm.Algebra, 46(11) (2018), 4663-4681.

Yıl 2020, Cilt: 27 Sayı: 27, 127 - 146, 07.01.2020

Anton Cedilnik Marjan Jerman

https://doi.org/10.24330/ieja.662996
Cited By: 2

Öz

Kaynakça

  • A. Fowler-Wright, The Classification of Three-Dimensional Lie Algebras, Ph.D. Thesis, The University of Warwick, Coventry, 2014.
  • Y. Kobayashi, K. Shirayanagi, S. Takahasi and M. Tsukada, Classification of three-dimensional zeropotent algebras over an algebraically closed field, Comm. Algebra, 45(12) (2017), 5037-5052.
  • E. N. Kuzmin, Binary Lie algebras of small dimension, Algebra and Logic, 37(3) (1998), 181-186.
  • K. Shirayanagi, S. Takahasi, M. Tsukada and Y. Kobayashi, Classification of three-dimensional zeropotent algebras over the real number eld, Comm.Algebra, 46(11) (2018), 4663-4681.
Toplam 4 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Anton Cedilnik Bu kişi benim

Marjan Jerman Bu kişi benim

Yayımlanma Tarihi 7 Ocak 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 27 Sayı: 27

Kaynak Göster

APA Cedilnik, A., & Jerman, M. (2020). CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS. International Electronic Journal of Algebra, 27(27), 127-146. https://doi.org/10.24330/ieja.662996
AMA Cedilnik A, Jerman M. CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS. IEJA. Ocak 2020;27(27):127-146. doi:10.24330/ieja.662996
Chicago Cedilnik, Anton, ve Marjan Jerman. “CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS”. International Electronic Journal of Algebra 27, sy. 27 (Ocak 2020): 127-46. https://doi.org/10.24330/ieja.662996.
EndNote Cedilnik A, Jerman M (01 Ocak 2020) CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS. International Electronic Journal of Algebra 27 27 127–146.
IEEE A. Cedilnik ve M. Jerman, “CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS”, IEJA, c. 27, sy. 27, ss. 127–146, 2020, doi: 10.24330/ieja.662996.
ISNAD Cedilnik, Anton - Jerman, Marjan. “CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS”. International Electronic Journal of Algebra 27/27 (Ocak 2020), 127-146. https://doi.org/10.24330/ieja.662996.
JAMA Cedilnik A, Jerman M. CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS. IEJA. 2020;27:127–146.
MLA Cedilnik, Anton ve Marjan Jerman. “CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS”. International Electronic Journal of Algebra, c. 27, sy. 27, 2020, ss. 127-46, doi:10.24330/ieja.662996.
Vancouver Cedilnik A, Jerman M. CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS. IEJA. 2020;27(27):127-46.

Cited By

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International Electronic Journal of Algebra
https://doi.org/10.24330/ieja.1217445
Classification of a family of 4-dimensional anti-commutative algebras and their automorphisms
Linear Algebra and its Applications
https://doi.org/10.1016/j.laa.2022.10.010