EMBEDDING MODULES OF FINITE HOMOLOGICAL DIMENSION
Glasgow mathematical journal, Tome 55 (2013) no. 1, pp. 85-96
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This paper builds on work of Hochster and Yao that provides nice embeddings for finitely generated modules of finite G-dimension, finite projective dimension or locally finite injective dimension. We extend these results by providing similar embeddings in the relative setting, that is, for certain modules of finite GC-dimension, finite C-projective dimension, locally finite C-injective dimension or locally finite C-injective dimension where C is a semidualizing module. Along the way, we extend some results for modules of finite homological dimension to modules of locally finite homological dimension in the relative setting.
SATHER-WAGSTAFF, SEAN. EMBEDDING MODULES OF FINITE HOMOLOGICAL DIMENSION. Glasgow mathematical journal, Tome 55 (2013) no. 1, pp. 85-96. doi: 10.1017/S0017089512000353
@article{10_1017_S0017089512000353,
author = {SATHER-WAGSTAFF, SEAN},
title = {EMBEDDING {MODULES} {OF} {FINITE} {HOMOLOGICAL} {DIMENSION}},
journal = {Glasgow mathematical journal},
pages = {85--96},
year = {2013},
volume = {55},
number = {1},
doi = {10.1017/S0017089512000353},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000353/}
}
TY - JOUR AU - SATHER-WAGSTAFF, SEAN TI - EMBEDDING MODULES OF FINITE HOMOLOGICAL DIMENSION JO - Glasgow mathematical journal PY - 2013 SP - 85 EP - 96 VL - 55 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000353/ DO - 10.1017/S0017089512000353 ID - 10_1017_S0017089512000353 ER -
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