Geodesic
Extensions of $GM$-rings
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 2, pp. 273-281 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

It is shown that a ring $R$ is a $GM$-ring if and only if there exists a complete orthogonal set $\lbrace e_1,\cdots ,e_n\rbrace $ of idempotents such that all $e_iRe_i$ are $GM$-rings. We also investigate $GM$-rings for Morita contexts, module extensions and power series rings.
It is shown that a ring $R$ is a $GM$-ring if and only if there exists a complete orthogonal set $\lbrace e_1,\cdots ,e_n\rbrace $ of idempotents such that all $e_iRe_i$ are $GM$-rings. We also investigate $GM$-rings for Morita contexts, module extensions and power series rings.
Classification : 16E50, 16S50, 16U60, 16U99
Keywords: $GM$-ring; module extension; power series ring 
@article{CMJ_2005_55_2_a0,
     author = {Chen, Huanyin and Chen, Miaosen},
     title = {Extensions of $GM$-rings},
     journal = {Czechoslovak Mathematical Journal},
     pages = {273--281},
     year = {2005},
     volume = {55},
     number = {2},
     mrnumber = {2137137},
     zbl = {1081.16016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2005_55_2_a0/}
}
TY  - JOUR
AU  - Chen, Huanyin
AU  - Chen, Miaosen
TI  - Extensions of $GM$-rings
JO  - Czechoslovak Mathematical Journal
PY  - 2005
SP  - 273
EP  - 281
VL  - 55
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/CMJ_2005_55_2_a0/
LA  - en
ID  - CMJ_2005_55_2_a0
ER  - 
%0 Journal Article
%A Chen, Huanyin
%A Chen, Miaosen
%T Extensions of $GM$-rings
%J Czechoslovak Mathematical Journal
%D 2005
%P 273-281
%V 55
%N 2
%U http://geodesic.mathdoc.fr/item/CMJ_2005_55_2_a0/
%G en
%F CMJ_2005_55_2_a0
Chen, Huanyin; Chen, Miaosen. Extensions of $GM$-rings. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 2, pp. 273-281. http://geodesic.mathdoc.fr/item/CMJ_2005_55_2_a0/