On Albert Problem and Irreducible Modules

Elkin Oveimar Quintero Vanegas ()
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Elkin Oveimar Quintero Vanegas: Departamento de Matemática, Instituto de Ciências Exatas, Universidade Federal do Amazonas, Manaus 69067-005, Brazil

Mathematics, 2023, vol. 11, issue 18, 1-9

Abstract: Motivated by the relation between Albert’s Problem and irreducible modules within the class of commutative power-associative algebras, in this paper, we show some equivalences to Albert’s Problem. Furthermore, we study some properties of irreducible modules for the zero algebra of dimension n and we concluded that there are no irreducible modules of dimension four.

Keywords: Albert’s problem; irreducible modules; power-associative algebra (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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