Abstract (EN):
The purpose of this paper is to study finiteness conditions on injective hulls of simple modules over Noetherian down-up algebras. We will show that the Noetherian down-up algebras A(alpha, beta, gamma) which are fully bounded are precisely those which are module-finite over a central subalgebra. We show that injective hulls of simple A(alpha, beta, gamma)-modules are locally Artinian provided the roots of X(2) - alpha X - beta are distinct roots of unity or both equal to 1.
Idioma:
Inglês
Tipo (Avaliação Docente):
Científica
Nº de páginas:
7