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
• Article • Previous Articles Next Articles
YING Zhi-Ling, WENG Ye-Zao
Online:
Published:
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
CLC Number:
O153.3
YING Zhi-Ling, WENG Ye-Zao. Characterization of potent rings[J]. Journal of East China Normal University(Natural Sc, 2014, 2014(6): 9-11.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: https://xblk.ecnu.edu.cn/EN/10.3969/j.issn.1000-5641.2014.06.002
https://xblk.ecnu.edu.cn/EN/Y2014/V2014/I6/9
中国综合性科技类核心期刊(北大核心)