MAPS IN MINIMAL INJECTIVE RESOLUTIONS OF MODULES

Title & Authors
MAPS IN MINIMAL INJECTIVE RESOLUTIONS OF MODULES
Lee, Ki-Suk;

Abstract
We investigate the behavior of maps in minimal injective resolution of an A-module M when $\small{{\mu}_t}$(m,M)
Keywords
Bass numbers;minimal injective resolutions;type of modules;Cohen-Macaulay rings;
Language
English
Cited by
1.
SOME REMARKS ON TYPES OF NOETHERIAN LOCAL RINGS,;

충청수학회지, 2014. vol.27. 4, pp.625-633
1.
SOME REMARKS ON TYPES OF NOETHERIAN LOCAL RINGS, Journal of the Chungcheong Mathematical Society, 2014, 27, 4, 625
References
1.
Y. Aoyama, Complete local (S$_{n−1}$) rings of type n$\geq$3 are Cohen-Macaulay, Proc. Japan Acad. Ser. A Math. Sci. 70 (1994), no. 3, 80–83

2.
H. Bass, On the ubiquity of Gorenstein rings, Math. Z. 82 (1963), 8–28

3.
D. Costa, C. Huneke, and M. Miller, Complete local domains of type two are Cohen-Macaulay, Bull. London Math. Soc. 17 (1985), no. 1, 29–31

4.
H.-B. Foxby, On the $\mu^i$ in a minimal injective resolution. II, Math. Scand. 41 (1977), no. 1, 19–44

5.
T. Kawasaki, Local rings of relatively small type are Cohen-Macaulay, Proc. Amer. Math. Soc. 122 (1994), no. 3, 703–709

6.
J. Koh, M. Kim, and K. Lee, Applications of $SC_r$-condition to Bass numbers of modules, in preparation

7.
K. Lee, A note on types of Noetherian local rings, Bull. Korean Math. Soc. 39 (2002), no. 4, 645–652

8.
K. Lee, On types of Noetherian local rings and modules, J. Korean Math. Soc. 44 (2007), no. 4, 987–995

9.
T. Marley, Unmixed local rings of type two are Cohen-Macaulay, Bull. London Math. Soc. 23 (1991), no. 1, 43–45

10.
P. Roberts, Homological Invariants of Modules over Commutative Rings, Presses de l'Universite de Montreal, Montreal, Que., 1980

11.
P. Roberts, Intersection theorems, Commutative algebra (Berkeley, CA, 1987), 417–436, Math. Sci. Res. Inst. Publ., 15, Springer, New York, 1989

12.
P. Roberts, Rings of type 1 are Gorenstein, Bull. London Math. Soc. 15 (1983), no. 1, 48–50

13.
W. V. Vasconcelos, Divisor Theory in Module Categories, North-Holland Mathematics Studies, No. 14. Notas de Matematica No. 53. [Notes on Mathematics, No. 53] North-Holland Publishing Co., Amsterdam-Oxford; American Elsevier Publishing Co., Inc., New York, 1974