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A note on semicentral idempotents

Title
A note on semicentral idempotents
Type
Article in International Scientific Journal
Year
2017
Authors
Christian Lomp
(Author)
FCUP
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Matczuk, J
(Author)
Other
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Journal
Vol. 45
Pages: 2735-2737
ISSN: 0092-7872
Publisher: Taylor & Francis
Scientific classification
CORDIS: Physical sciences > Mathematics ; Physical sciences > Mathematics > Algebra
Other information
Authenticus ID: P-00M-C7R
Abstract (EN): In this note we answer the question raised by Han et al. in [3] whether an idempotent isomorphic to a semicentral idempotent is itself semicentral. We show that rings with this property are precisely the Dedekind-finite rings. An application to module theory is given.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 3
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