Extensions of $GM$-rings

Chen, Huanyin, and Chen, Miaosen. "Extensions of $GM$-rings." Czechoslovak Mathematical Journal 55.2 (2005): 273-281. <http://eudml.org/doc/30944>.

@article{Chen2005,
abstract = {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.},
author = {Chen, Huanyin, Chen, Miaosen},
journal = {Czechoslovak Mathematical Journal},
keywords = {$GM$-ring; module extension; power series ring; GM-rings; module extensions; power series rings; idempotents; Morita contexts},
language = {eng},
number = {2},
pages = {273-281},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Extensions of $GM$-rings},
url = {http://eudml.org/doc/30944},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Chen, Huanyin
AU - Chen, Miaosen
TI - Extensions of $GM$-rings
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 2
SP - 273
EP - 281
AB - 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.
LA - eng
KW - $GM$-ring; module extension; power series ring; GM-rings; module extensions; power series rings; idempotents; Morita contexts
UR - http://eudml.org/doc/30944
ER -