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Index of reducibility of distinguished parameter ideals and sequentially Cohen-Macaulay modules

Hoang Le Truong

Proceedings of the American Mathematical Society · 2013 · 18 citations · 7 references

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Abstract

It is shown that every sequentially Cohen-Macaulay module eventually has constant index of reducibility for distinguished parameter ideals.

References

7

Pseudo Cohen–Macaulay and pseudo generalized Cohen–Macaulay modules

Nguyen Tu Cuong, Le Thanh Nhan · Journal of Algebra · 2003 · 73 citations

, , +5

On sequentially Cohen-Macaulay modules

Nguyen Tu Cuong, Đoàn Trung Cường · Kodai Mathematical Journal · 2007 · 46 citations · Full text

, , +4

Index of reducibility of parameter ideals in a local ring

Shirô Gotô, Naoyoshi Suzuki · Journal of Algebra · 1984 · 43 citations

, , +5

Approximately Cohen-Macaulay rings

Shirô Gotô · Journal of Algebra · 1982 · 41 citations

On Irreducible Ideals in Local Rings

D. G. Northcott · Journal of the London Mathematical Society · 1957 · 34 citations

, , +4