Research Article
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Year 2023, , 226 - 246, 09.01.2023

Anton Cedılnık

https://doi.org/10.24330/ieja.1217445

Abstract

Keywords

Non-associative algebra multiplication table classification isopotent excess three-dimensional zeropotent isoproduct

References

  • A. Cedilnik, Subassociative algebras, Acta Math. Univ. Comenian., 66(2) (1997), 229-241.
  • A. Cedilnik and M. Jerman , Classification of three-dimensional zeropotent algebras, Int. Electron. J. Algebra, 27 (2020), 127-146.
  • R. Lidl and H. Niederreiter, Finite Fields, Encyclopedia of Mathematics and its Applications, 20, Cambridge University Press, Cambridge, 1997.

Classification of three-dimensional isopotent algebras

Year 2023, , 226 - 246, 09.01.2023

Anton Cedılnık

https://doi.org/10.24330/ieja.1217445

Abstract

In the article, we perform a classification of algebras with dimensions $\leq$ 3 and with the property that each element is colinear with its square. The classification is complete up to properties of the ground field.

Keywords

Non-associative algebra multiplication table classification isopotent excess three-dimensional zeropotent isoproduct

References

  • A. Cedilnik, Subassociative algebras, Acta Math. Univ. Comenian., 66(2) (1997), 229-241.
  • A. Cedilnik and M. Jerman , Classification of three-dimensional zeropotent algebras, Int. Electron. J. Algebra, 27 (2020), 127-146.
  • R. Lidl and H. Niederreiter, Finite Fields, Encyclopedia of Mathematics and its Applications, 20, Cambridge University Press, Cambridge, 1997.
There are 3 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Anton Cedılnık This is me

Publication Date January 9, 2023
Published in Issue Year 2023

Cite

APA Cedılnık, A. (2023). Classification of three-dimensional isopotent algebras. International Electronic Journal of Algebra, 33(33), 226-246. https://doi.org/10.24330/ieja.1217445
AMA Cedılnık A. Classification of three-dimensional isopotent algebras. IEJA. January 2023;33(33):226-246. doi:10.24330/ieja.1217445
Chicago Cedılnık, Anton. “Classification of Three-Dimensional Isopotent Algebras”. International Electronic Journal of Algebra 33, no. 33 (January 2023): 226-46. https://doi.org/10.24330/ieja.1217445.
EndNote Cedılnık A (January 1, 2023) Classification of three-dimensional isopotent algebras. International Electronic Journal of Algebra 33 33 226–246.
IEEE A. Cedılnık, “Classification of three-dimensional isopotent algebras”, IEJA, vol. 33, no. 33, pp. 226–246, 2023, doi: 10.24330/ieja.1217445.
ISNAD Cedılnık, Anton. “Classification of Three-Dimensional Isopotent Algebras”. International Electronic Journal of Algebra 33/33 (January 2023), 226-246. https://doi.org/10.24330/ieja.1217445.
JAMA Cedılnık A. Classification of three-dimensional isopotent algebras. IEJA. 2023;33:226–246.
MLA Cedılnık, Anton. “Classification of Three-Dimensional Isopotent Algebras”. International Electronic Journal of Algebra, vol. 33, no. 33, 2023, pp. 226-4, doi:10.24330/ieja.1217445.
Vancouver Cedılnık A. Classification of three-dimensional isopotent algebras. IEJA. 2023;33(33):226-4.