On power-associative modules.

Autor: Fernandez, J. C. Gutierrez, Grishkov, A., Vanegas, E. O. Quintero
Předmět:
Zdroj: Journal of Algebra & Its Applications; Oct2023, Vol. 22 Issue 10, p1-19, 19p
Abstrakt: The aim of this paper is to study the structure of irreducible modules in the variety ℳ of commutative power-associative nilalgebras of nilindex ≤ 4. If A ∈ ℳ with dimension at most 5, then we prove that A 2 is contained in the annihilator of every irreducible A -module in the variety ℳ. Also, we consider the enveloping algebra of an algebra A in the variety ℳ and we obtain a new example of a commutative power-associative non-nilpotent nilalgebra of dimension 9. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index