Relative Projective Dimensions
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 3
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In $(n,d)$-ring and $n$-coherent ring theory, $n$-presented modules plays an important role. In this paper, we firstly give some new characterizations of $n$-presented modules and $n$-coherent rings. Then, we introduce the concept of $(n,0)$-projective dimension, which measures how far away a finitely generated module is from being $n$-presented and how far away a ring is from being Noetherian, for modules and rings. This dimension has nice properties when the ring in question is $n$-coherent. Some known results are extended or obtained as corollaries.
Classification :
16D10, 16E40
@article{BMMS_2014_37_3_a21,
author = {Baiyu Ouyang and Luling Duan and Weiqing Li},
title = {Relative {Projective} {Dimensions}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2014},
volume = {37},
number = {3},
url = {http://geodesic.mathdoc.fr/item/BMMS_2014_37_3_a21/}
}
Baiyu Ouyang; Luling Duan; Weiqing Li. Relative Projective Dimensions. Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2014_37_3_a21/