Aneis Jacobianos
Mostrando 1-2 de 2 artigos, teses e dissertações.
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1. A note on jacobson rings and polynomial rings
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.
Publicado em: 2011
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2. Rings with annihilator chain conditions and right distributive rings
We prove that if a right distributive ring R, which has at least one completely prime ideal contained in the Jacobson radical, satisfies either a.c.c or d.c.c. on principal right annihilators, then the prime radical of R is the right singular ideal of R and is completely prime and nilpotent. These results generalize a theorem by Posner for right chain rings.
Publicado em: 2011