Some characterizations of pseudo Cohen–Macaulay modules
2015 ◽
Vol 14
(10)
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pp. 1550142
Keyword(s):
Let (R, 𝔪) be a Noetherian local ring and M a finitely generated R-module with dim M = d. Following Cuong and the first author [N. T. Cuong and L. T. Nhan, J. Algebra267 (2003) 156–177], M is called pseudo Cohen–Macaulay if [Formula: see text] for a system of parameters [Formula: see text] of M, where [Formula: see text]. In this paper, first we improve some known results on pseudo Cohen–Macaulay modules. Then we study the localizations of pseudo Cohen–Macaulay modules in order to introduce the pseudo Cohen–Macaulayness for the non-local case. Finally, we give characterizations for the formal power series ring and the polynomial ring being pseudo Cohen–Macaulay.
1971 ◽
Vol 79
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pp. 247-258
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Keyword(s):
2015 ◽
Vol 26
(11)
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pp. 1550088
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Keyword(s):
2013 ◽
Vol 24
(13)
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pp. 1350111
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1995 ◽
Vol 38
(1)
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pp. 59-65
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Keyword(s):
1992 ◽
Vol 125
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pp. 93-103
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2018 ◽
Vol 17
(10)
◽
pp. 1850199
Keyword(s):
Keyword(s):
2014 ◽
Vol 13
(05)
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pp. 1350157
Keyword(s):
1987 ◽
Vol 101
(2)
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pp. 207-208
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