A note on Jacobson rings and polynomial rings

A note on jacobson rings and polynomial rings View/ Open Texto completo (inglês) (154.3Kb) Date 1989 Author Ferrero, Miguel Angel Alberto Parmenter, Michael M. Type Journal article URI http://hdl.handle.net/10183/27483 Other options Show all item metadata Statistics Subject Aneis associativos Aneis jacobianos Anéis polinomiais Ideais primos Abstract As is well known, if R is a ring in which every prime ideal is an intersection of primitive ideals, the same is true of R[X] . The purpose of this paper is to give a general theorem which shows that the above result remains true when rnany other classes of prime ideals are considered in place of prirnitive ideals. In Proceedings of the American Mathematical Society. Providence, RI. Vol. 105, no. 2 (feb. 1989), p. 281-286. Source Foreign Collections Journal Articles (46600) Exact and Earth Sciences (6931) Other options Show all item metadata Statistics