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

DOI

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
@article{10_1017_S0017089509005023,
     author = {BIRKENMEIER, GARY F. and PARK, JAE KEOL and RIZVI, S. TARIQ},
     title = {MODULES {WITH} {FI-EXTENDING} {HULLS}},
     journal = {Glasgow mathematical journal},
     pages = {347--357},
     year = {2009},
     volume = {51},
     number = {2},
     doi = {10.1017/S0017089509005023},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005023/}
}
TY  - JOUR
AU  - BIRKENMEIER, GARY F.
AU  - PARK, JAE KEOL
AU  - RIZVI, S. TARIQ
TI  - MODULES WITH FI-EXTENDING HULLS
JO  - Glasgow mathematical journal
PY  - 2009
SP  - 347
EP  - 357
VL  - 51
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005023/
DO  - 10.1017/S0017089509005023
ID  - 10_1017_S0017089509005023
ER  - 
%0 Journal Article
%A BIRKENMEIER, GARY F.
%A PARK, JAE KEOL
%A RIZVI, S. TARIQ
%T MODULES WITH FI-EXTENDING HULLS
%J Glasgow mathematical journal
%D 2009
%P 347-357
%V 51
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005023/
%R 10.1017/S0017089509005023
%F 10_1017_S0017089509005023

Cité par Sources :