When every flat ideal is projective
Commentationes Mathematicae Universitatis Carolinae (2014)
- Volume: 55, Issue: 1, page 1-7
- ISSN: 0010-2628
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topCheniour, Fatima, and Mahdou, Najib. "When every flat ideal is projective." Commentationes Mathematicae Universitatis Carolinae 55.1 (2014): 1-7. <http://eudml.org/doc/260823>.
@article{Cheniour2014,
abstract = {In this paper, we study the class of
rings in which every flat ideal is
projective. We investigate the stability
of this property under homomorphic image,
and its transfer to various contexts
of constructions such as direct products,
and trivial ring extensions. Our results
generate examples which enrich the
current literature with new and original
families of rings that satisfy this
property.},
author = {Cheniour, Fatima, Mahdou, Najib},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {FP-ring; direct product; homomorphic image; amalgamation of rings; $A\bowtie ^\{f\}J $; trivial extension; FP-ring; direct product; homomorphic image; amalgamation of rings; ; trivial extension},
language = {eng},
number = {1},
pages = {1-7},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {When every flat ideal is projective},
url = {http://eudml.org/doc/260823},
volume = {55},
year = {2014},
}
TY - JOUR
AU - Cheniour, Fatima
AU - Mahdou, Najib
TI - When every flat ideal is projective
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2014
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 55
IS - 1
SP - 1
EP - 7
AB - In this paper, we study the class of
rings in which every flat ideal is
projective. We investigate the stability
of this property under homomorphic image,
and its transfer to various contexts
of constructions such as direct products,
and trivial ring extensions. Our results
generate examples which enrich the
current literature with new and original
families of rings that satisfy this
property.
LA - eng
KW - FP-ring; direct product; homomorphic image; amalgamation of rings; $A\bowtie ^{f}J $; trivial extension; FP-ring; direct product; homomorphic image; amalgamation of rings; ; trivial extension
UR - http://eudml.org/doc/260823
ER -
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