Universal Journal of Mathematics and Mathematical Sciences

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DERIVATIONS AND AUTOMORPHISMS OF TRAIN ALGEBRA OF DEGREE 2 AND EXPONENT 3

Authors

  • André Conseibo

Keywords:

derivations, train algebra, Peirce decomposition.

DOI:

https://doi.org/10.17654/2277141723009

Abstract

In this paper, we study the derivations of a train algebra of degree 2 and exponent 3. We give a characterization of these derivations using a Peirce decomposition. A more detailed description is made for the case of dimension 3. For automorphisms, the study is made for the type (1 + rs, 0).

Received: November 9, 2022;
Accepted: January 16, 2023;

References

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J. Bayara, A. Conseibo, M. Ouattara and A. Micali, Train algebras of degree 2 and exponent 3, Discrete Contin. Dyn. Syst. Ser. S 4(6) (2011), 1371-1386.

H. Guzzo, Jr., The Peirce decomposition for commutative train algebras, Comm. Algebra 22 (1994), 5745-5757.

A. Micali and M. Ouattara, Structure des algèbres de Bernstein, Linear Algebra Appl. 218 (1995), 77-88.

R. D. Schafer, An Introduction to Nonassociative Algebras, Academic Press, New York, 1966.

A. Wörz-Busekros, Algebras in genetics, Lecture Notes in Biomathematics, 36, Springer-Verlag, Berlin-New York, 1980.

Published

2023-02-04

Issue

Section

Articles

How to Cite

DERIVATIONS AND AUTOMORPHISMS OF TRAIN ALGEBRA OF DEGREE 2 AND EXPONENT 3. (2023). Universal Journal of Mathematics and Mathematical Sciences, 18(2), 145-164. https://doi.org/10.17654/2277141723009

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