Title of article :
Mittag-Leffler modules
Original Research Article
Author/Authors :
Philipp Rothmaler، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1997
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
Journal title :
Annals of Pure and Applied Logic
