Representations of algebras satisfying a train identity of degree 2 and exponent 3

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Harouna Lallou
Souleymane Savadogo
André Conseibo

Abstract

In this paper, we are interested in the study of representations of the algebras A satisfying the equation (a3)2 = ω(a3)a3, for all a in  A. We give a characterization of these representations. We also give the condition under which the A-module is associative. When the Peirce component A1/2= 0, we give examples of sub A-modules. We show that the irreducible A-submodules are not necessarily of dimension 1.

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How to Cite
Lallou, H., Savadogo, S., & Conseibo, A. (2024). Representations of algebras satisfying a train identity of degree 2 and exponent 3. Gulf Journal of Mathematics, 16(2), 328-336. https://doi.org/10.56947/gjom.v16i2.1835
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