Extension problem associated with socle of monomial algebras.
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Autor
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Fecha
2024 -
Palabras clave
Álgebra; Anillos (Álgebra) -
Resumen
We show that a monomial algebra Λ over an algebraically closed field K is self-injective if and only if each map soc(ΛΛ) −→ ΛΛ can be extended to an endomorphism of ΛΛ, and provide a complete classification of such algebras. As a consequence, we show that the class of self-injective monomial algebras is a subclass of Nakayama algebras. -