Restricted homological dimensions over local homomorphisms and Cohen-Macaulayness

Fangdi Kong; Dejun Wu

Czechoslovak Mathematical Journal (2018)

  • Volume: 68, Issue: 3, page 741-754
  • ISSN: 0011-4642

Abstract

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We define and study restricted projective, injective and flat dimensions over local homomorphisms. Some known results are generalized. As applications, we show that (almost) Cohen-Macaulay rings can be characterized by restricted homological dimensions over local homomorphisms.

How to cite

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Kong, Fangdi, and Wu, Dejun. "Restricted homological dimensions over local homomorphisms and Cohen-Macaulayness." Czechoslovak Mathematical Journal 68.3 (2018): 741-754. <http://eudml.org/doc/294203>.

@article{Kong2018,
abstract = {We define and study restricted projective, injective and flat dimensions over local homomorphisms. Some known results are generalized. As applications, we show that (almost) Cohen-Macaulay rings can be characterized by restricted homological dimensions over local homomorphisms.},
author = {Kong, Fangdi, Wu, Dejun},
journal = {Czechoslovak Mathematical Journal},
keywords = {Cohen factorization; restricted homological dimension; Cohen-Macaulay ring},
language = {eng},
number = {3},
pages = {741-754},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Restricted homological dimensions over local homomorphisms and Cohen-Macaulayness},
url = {http://eudml.org/doc/294203},
volume = {68},
year = {2018},
}

TY - JOUR
AU - Kong, Fangdi
AU - Wu, Dejun
TI - Restricted homological dimensions over local homomorphisms and Cohen-Macaulayness
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 3
SP - 741
EP - 754
AB - We define and study restricted projective, injective and flat dimensions over local homomorphisms. Some known results are generalized. As applications, we show that (almost) Cohen-Macaulay rings can be characterized by restricted homological dimensions over local homomorphisms.
LA - eng
KW - Cohen factorization; restricted homological dimension; Cohen-Macaulay ring
UR - http://eudml.org/doc/294203
ER -

References

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