On prime ideals and radicals of polynomial rings and graded rings
- Autores: Pjek-Hwee Lee, Edmund R. Puczylowski
- Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 218, Nº 2, 2014, págs. 323-332
- Idioma: inglés
- DOI: 10.1016/j.jpaa.2013.06.004
- Enlaces
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Resumen
We extend some known results on radicals and prime ideals from polynomial rings and Laurent polynomial rings to Z-graded rings, i.e, rings graded by the additive group of integers. The main of them concerns the Brown�McCoy radical G and the radical S, which for a given ring A is defined as the intersection of prime ideals I of A such that A/I is a ring with a large center. The studies are related to some open problems on the radicals G and S of polynomial rings and situated in the context of Koethe�s problem.
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