EMBEDDING MODULES OF FINITE HOMOLOGICAL DIMENSION
Glasgow mathematical journal, Tome 55 (2013) no. 1, pp. 85-96

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DOI

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.
DOI : 10.1017/S0017089512000353
Mots-clés : 13D02, 13D05, 13D07
SATHER-WAGSTAFF, SEAN. EMBEDDING MODULES OF FINITE HOMOLOGICAL DIMENSION. Glasgow mathematical journal, Tome 55 (2013) no. 1, pp. 85-96. doi: 10.1017/S0017089512000353
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     title = {EMBEDDING {MODULES} {OF} {FINITE} {HOMOLOGICAL} {DIMENSION}},
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     pages = {85--96},
     year = {2013},
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     doi = {10.1017/S0017089512000353},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000353/}
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