Polynomial rings over Jacobson-Hilbert rings.
Faith, Carl
Publicacions Matemàtiques, Tome 33 (1989), p. 85-97 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 1989-01-01
DMLE-ID : 3626 
@article{urn:eudml:doc:41069,
     title = {Polynomial rings over Jacobson-Hilbert rings.},
     journal = {Publicacions Matem\`atiques},
     volume = {33},
     year = {1989},
     pages = {85-97},
     zbl = {0699.13011},
     mrnumber = {MR1004227},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41069}
}

Faith, Carl. Polynomial rings over Jacobson-Hilbert rings.. Publicacions Matemàtiques, Tome 33 (1989) pp. 85-97. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41069/