Título inglés |
Self-injective Von Neumann regular subrings and a theorem of Pere Menal. |
Título español |
Subanillos regulares de Von Neumann autoinyectivos y un teorema de Pere Menal. |
Autor/es |
Faith, Carl |
Organización |
Dep. Math. Hill Cent. Math. Sci. Rutgers State Univ., New Brunswick (New Jersey), Estados Unidos |
Revista |
0214-1493 |
Publicación |
1992, 36 (2A): 541-567, 36 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
This paper owes its origins to Pere Menal and his work on Von Neumann Regular (= VNR) rings, especially his work listed in the bibliography on when the tensor product K = A ÄK B of two algebras over a field k are right self-injective (= SI) or VNR. Pere showed that then A and B both enjoy the same property, SI or VNR, and furthermore that either A and B are algebraic algebras over k (see [M]). This is connected with a lemma in the proof of the Hilbert Nullstellensatz, namely a finite ring extension K = k[a1, ..., an] is a field only if a1, ..., an are algebraic over k. |
Código MathReviews |
MR1209823 |
Acceso al artículo completo |