Geodesic
On lifting of idempotents and semiregular endomorphism rings
Tsiu-Kwen Lee 1   ; Yiqiang Zhou 2
1 Department of Mathematics National Taiwan University Taipei 106, Taiwan and Member of Mathematics Division (Taipei Office) National Center for Theoretical Sciences
2 Department of Mathematics and Statistics Memorial University of Newfoundland St. John's, Nfld A1C 5S7, Canada
Colloquium Mathematicum, Tome 125 (2011) no. 1, pp. 99-113 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Starting with some observations on (strong) lifting of idempotents, we characterize a module whose endomorphism ring is semiregular with respect to the ideal of endomorphisms with small image. This is the dual of Yamagata's work [Colloq. Math. 113 (2008)] on a module whose endomorphism ring is semiregular with respect to the ideal of endomorphisms with large kernel.
DOI : 10.4064/cm125-1-7
Keywords: starting observations strong lifting idempotents characterize module whose endomorphism ring semiregular respect ideal endomorphisms small image dual yamagatas work colloq math module whose endomorphism ring semiregular respect ideal endomorphisms large kernel

Tsiu-Kwen Lee  1   ; Yiqiang Zhou  2

1 Department of Mathematics National Taiwan University Taipei 106, Taiwan and Member of Mathematics Division (Taipei Office) National Center for Theoretical Sciences
2 Department of Mathematics and Statistics Memorial University of Newfoundland St. John's, Nfld A1C 5S7, Canada 
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Tsiu-Kwen Lee; Yiqiang Zhou. On lifting of idempotents and
 semiregular endomorphism rings. Colloquium Mathematicum, Tome 125 (2011) no. 1, pp. 99-113. doi: 10.4064/cm125-1-7

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