On lifting of idempotents and semiregular endomorphism rings

• Autorzy: Tsiu-Kwen Lee , Yiqiang Zhou
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 16S50: Endomorphism rings; matrix rings
• 16E50: von Neumann regular rings and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 125
• Numer: 1
• Strony: 99-113

Daty

wydano

2011

Twórcy

autor

Tsiu-Kwen Lee

• Department of Mathematics, National Taiwan University, Taipei 106, Taiwan
• Member of Mathematics Division (Taipei Office), National Center for Theoretical Sciences

autor

Yiqiang Zhou

• Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Nfld A1C 5S7, Canada

Identyfikatory

DOI

10.4064/cm125-1-7