Title of article
Mittag-Leffler modules Original Research Article
Author/Authors
Philipp Rothmaler، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1997
Pages
13
From page
227
To page
239
Abstract
The main theorem characterizes Mittag-Leffler modules as ‘positively atomic’ modules (in contrast to the characterization of pure-injective modules as ‘positively saturated’ modules). This is applied to reduced (resp., direct) products of Mittag-Leffler modules and pure-semisimple (resp., coherent and self-injective von Neumann regular rings).
Keywords
self-injective rings , ultraproducts , saturated and atomic structures , elementary duality , (Locally) pure-projective , Mittag-Leffler , coherent , pure-semisimple , (complete) regular , reduced , ?-projective modules , direct , ?-pure-injective
Journal title
Annals of Pure and Applied Logic
Serial Year
1997
Journal title
Annals of Pure and Applied Logic
Record number
890156
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