论文标题
避免和吸收性
Avoidance and Absorbance
论文作者
论文摘要
我们研究了两个主要回避和主要吸光度的双重概念。我们将经典的质量回避引理推广到激进的理想。为C.P.提供了许多新标准。 （每组素数都可以避免）或P.Z。 （每组素数都可以满足吸光度）。特殊考虑与链条条件和noeterian样性质的相互作用。结果表明，一个环是C.P.和P.Z. IFF它具有有限的频谱。
We study the two dual notions of prime avoidance and prime absorbance. We generalize the classical prime avoidance lemma to radical ideals. A number of new criteria are provided for an abstract ring to be C.P. (every set of primes satisfies avoidance) or P.Z. (every set of primes satisfies absorbance). Special consideration is given to the interaction with chain conditions and Noetherian-like properties. It is shown that a ring is both C.P. and P.Z. iff it has finite spectrum.
