Polynomial rings over Jacobson-Hilbert rings

Autores: Carl Faith
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 33, Nº 1, 1989, págs. 85-97
Idioma: inglés
DOI: 10.5565/publmat_33189_07
Títulos paralelos:
- Anillos polinomicos sobre anillos de Jacobson-Hilbert
Enlaces
- Texto completo
Resumen
- All rings considered are commutative with unit. A ring R is SISI (in Vámos' terminology) if every subdirectly irreducible factor ring R/I is self-injective. SISI rings include Noetherian rings, Morita rings and almost maximal valuation rings ([V1]). In [F3] we raised the question of whether a polynomial ring R[x] over a SISI ring R is again SISI. In this paper we show this is not the case.