陈建龙教授专题学术报告
2012-09-24 来源：数学科学研究中心活动地点：
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| Center of Mathematical Sciences at Zhejiang University | ||
| 学术演讲 | ||
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Speaker: 陈建龙 教授 (东南大学 南京) Title: On quasipolar rings Time: 15:00-16:00pm, Sept. 25, 2012 (Tue.)
Venue: 浙江大学数学研究中心202Abstract. Motivated by results about an element of a ring that admits a spectral idempotent (so-called a quasipolar element in literature), we introduce notions of pseudopolar rings and quasipolar rings. A ring R is called quasipolar if every element of R is quasipola r (or, every element of R has a generalized Drazin inverse). It is proved that strongly π-regular rings and uniquely strongly clean rings are pseudopolar, pseudopolar rings are quasipolar, and quasipolar rings are strongly clean. In this talk, we present Cline's formula and Jacobson's lemma for the generalized Drazin inverse. The quasipolarity and pseudopolarity of matrix rings and the triangular matrix rings over local rings are also considered. | ||
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