Journal of East China Normal University(Natural Sc ›› 2014, Vol. 2014 ›› Issue (6): 9-11.doi: 10.3969/j.issn.1000-5641.2014.06.002

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Characterization of potent rings

YING  Zhi-Ling, WENG  Ye-Zao   

  1. College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
  • Online:2014-11-25 Published:2015-02-07

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

Key words: potent ring, semipotent ring, Zariski topology, prime ideal spectrum

CLC Number: