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CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS

Year 2020, Volume: 27 Issue: 27, 127 - 146, 07.01.2020

Anton Cedilnik Marjan Jerman

https://doi.org/10.24330/ieja.662996
https://izlik.org/JA24JT53ZU

Abstract

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.

Keywords

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

References

  • 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.

Year 2020, Volume: 27 Issue: 27, 127 - 146, 07.01.2020

Anton Cedilnik Marjan Jerman

https://doi.org/10.24330/ieja.662996
https://izlik.org/JA24JT53ZU

Abstract

References

  • 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.
There are 4 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Anton Cedilnik This is me

Marjan Jerman This is me

Publication Date January 7, 2020
DOI https://doi.org/10.24330/ieja.662996
IZ https://izlik.org/JA24JT53ZU
Published in Issue Year 2020 Volume: 27 Issue: 27

Cite

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 1.Cedilnik A, Jerman M. CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS. IEJA. 2020;27(27):127-146. doi:10.24330/ieja.662996
Chicago Cedilnik, Anton, and Marjan Jerman. 2020. “CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS”. International Electronic Journal of Algebra 27 (27): 127-46. https://doi.org/10.24330/ieja.662996.
EndNote Cedilnik A, Jerman M (January 1, 2020) CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS. International Electronic Journal of Algebra 27 27 127–146.
IEEE [1]A. Cedilnik and M. Jerman, “CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS”, IEJA, vol. 27, no. 27, pp. 127–146, Jan. 2020, doi: 10.24330/ieja.662996.
ISNAD Cedilnik, Anton - Jerman, Marjan. “CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS”. International Electronic Journal of Algebra 27/27 (January 1, 2020): 127-146. https://doi.org/10.24330/ieja.662996.
JAMA 1.Cedilnik A, Jerman M. CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS. IEJA. 2020;27:127–146.
MLA Cedilnik, Anton, and Marjan Jerman. “CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS”. International Electronic Journal of Algebra, vol. 27, no. 27, Jan. 2020, pp. 127-46, doi:10.24330/ieja.662996.
Vancouver 1.Cedilnik A, Jerman M. CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS. IEJA [Internet]. 2020 Jan. 1;27(27):127-46. Available from: https://izlik.org/JA24JT53ZU

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