Journal of East China Normal University(Natural Science) >

2014 , Vol. 2014 >Issue 6: 9 - 11

DOI: https://doi.org/10.3969/j.issn.1000-5641.2014.06.002

Article

Characterization of potent rings

  • YING Zhi-Ling ,
  • WENG Ye-Zao
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  • College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China

Online published: 2015-02-07

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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

Cite this article

YING Zhi-Ling , WENG Ye-Zao . Characterization of potent rings[J]. Journal of East China Normal University(Natural Science), 2014 , 2014(6) : 9 -11 . DOI: 10.3969/j.issn.1000-5641.2014.06.002

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