Geodesic
MODULES WITH FI-EXTENDING HULLS
Glasgow mathematical journal, Tome 51 (2009) no. 2, pp. 347-357

Voir la notice de l'article provenant de la source Cambridge University Press

It is shown that every finitely generated projective module PR over a semiprime ring R has the smallest FI-extending essential module extension (called the absolute FI-extending hull of PR) in a fixed injective hull of PR. This module hull is explicitly described. It is proved that , where is the smallest right FI-extending right ring of quotients of End(PR) (in a fixed maximal right ring of quotients of End(PR). Moreover, we show that a finitely generated projective module PR over a semiprime ring R is FI-extending if and only if it is a quasi-Baer module and if and only if End(PR) is a quasi-Baer ring. An application of this result to C*-algebras is considered. Various examples which illustrate and delimit the results of this paper are provided.
DOI : 10.1017/S0017089509005023
Mots-clés : Primary 16N60, 16D40, Secondary 16S50 
BIRKENMEIER, GARY F.; PARK, JAE KEOL; RIZVI, S. TARIQ. MODULES WITH FI-EXTENDING HULLS. Glasgow mathematical journal, Tome 51 (2009) no. 2, pp. 347-357. doi: 10.1017/S0017089509005023
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