Gorenstein star modules and Gorenstein tilting modules

Peiyu Zhang

Czechoslovak Mathematical Journal (2021)

  • Volume: 71, Issue: 2, page 403-416
  • ISSN: 0011-4642

Abstract

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We introduce the notion of Gorenstein star modules and obtain some properties and a characterization of them. We mainly give the relationship between n -Gorenstein star modules and n -Gorenstein tilting modules, see L. Yan, W. Li, B. Ouyang (2016), and a new characterization of n -Gorenstein tilting modules.

How to cite

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Zhang, Peiyu. "Gorenstein star modules and Gorenstein tilting modules." Czechoslovak Mathematical Journal 71.2 (2021): 403-416. <http://eudml.org/doc/298060>.

@article{Zhang2021,
abstract = {We introduce the notion of Gorenstein star modules and obtain some properties and a characterization of them. We mainly give the relationship between $n$-Gorenstein star modules and $n$-Gorenstein tilting modules, see L. Yan, W. Li, B. Ouyang (2016), and a new characterization of $n$-Gorenstein tilting modules.},
author = {Zhang, Peiyu},
journal = {Czechoslovak Mathematical Journal},
keywords = {Gorenstein quasi-projective module; Gorenstein star module; Gorenstein tilting module},
language = {eng},
number = {2},
pages = {403-416},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Gorenstein star modules and Gorenstein tilting modules},
url = {http://eudml.org/doc/298060},
volume = {71},
year = {2021},
}

TY - JOUR
AU - Zhang, Peiyu
TI - Gorenstein star modules and Gorenstein tilting modules
JO - Czechoslovak Mathematical Journal
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 71
IS - 2
SP - 403
EP - 416
AB - We introduce the notion of Gorenstein star modules and obtain some properties and a characterization of them. We mainly give the relationship between $n$-Gorenstein star modules and $n$-Gorenstein tilting modules, see L. Yan, W. Li, B. Ouyang (2016), and a new characterization of $n$-Gorenstein tilting modules.
LA - eng
KW - Gorenstein quasi-projective module; Gorenstein star module; Gorenstein tilting module
UR - http://eudml.org/doc/298060
ER -

References

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  8. Holm, H., 10.1016/j.jpaa.2003.11.007, J. Pure Appl. Algebra 189 (2004), 167-193. (2004) Zbl1050.16003MR2038564DOI10.1016/j.jpaa.2003.11.007
  9. Wei, J., 10.1016/j.jalgebra.2004.09.032, J. Algebra 283 (2005), 711-722. (2005) Zbl1112.16011MR2111219DOI10.1016/j.jalgebra.2004.09.032
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