Characterization of potent rings
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摘要: 证明了,环R视potent环当且仅当其素谱Spec(R)允许一个开闭pi基且幂等元模J(R)可提升,从而得到了potent环和semipotent环之间的一个等价刻画
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关键词:
- potent环 /
- semipotent环 /
- Zariski拓扑 /
- 素谱
Abstract: This paper proved that a ring R is potent iff Spec(R) has a clopen pi-base and its idempotents can be lifted modulo J(R). The result gives a characterization of potent rings.-
Key words:
- potent ring /
- semipotent ring /
- Zariski topology /
- prime ideal spectrum
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