Geodesic
Co-Cohen-Macaulay Artinian modules over commutative rings
Glasgow mathematical journal, Tome 38 (1996) no. 3, pp. 359-366

Voir la notice de l'article provenant de la source Cambridge University Press

In [7], Z. Tang and H. Zakeri introduced the concept of co-Cohen-Macaulay Artinian module over a quasi-local commutative ring R (with identity): a non-zero Artinian R-module A is said to be a co-Cohen-Macaulay module if and only if codepth A = dim A, where codepth A is the length of a maximalA-cosequence and dimA is the Krull dimension of A as defined by R. N. Roberts in [2]. Tang and Zakeriobtained several properties of co-Cohen-Macaulay Artinian R-modules, including a characterization of such modules by means of the modules of generalized fractions introduced by Zakeri and the present second author in [6]; this characterization is explained as follows. 
Denizler, I. H.; Sharp, R. Y. Co-Cohen-Macaulay Artinian modules over commutative rings. Glasgow mathematical journal, Tome 38 (1996) no. 3, pp. 359-366. doi: 10.1017/S0017089500031797
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[1] 1.O'Carroll, L., On the generalized fractions of Sharp and Zakeri, J. London Math. Soc. (2) 28 (1983), 417–427. Google Scholar | DOI

[2] 2.Roberts, R. N., Krull dimension for Artinian modules over quasi local commutative rings, Quart. J. Math. Oxford Ser.(2) 26 (1975), 269–273. Google Scholar | DOI

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[5] 5.Sharp, R. Y. and Tiras, Y., Asymptotic behaviour of integral closures of ideals relative to Artinian modules, J. Algebra 153 (1992), 262–269. Google Scholar | DOI

[6] 6.Sharp, R. Y. and Zakeri, H., Modules of generalized fractions, Mathematika 29 (1982), 32–41. Google Scholar | DOI

[7] 7.Tang, Z. and Zakeri, H., Co-Cohen-Macaulay modules and modules of generalized fractions, Comm. Algebra 22 (1994), 2173–2204. Google Scholar | DOI

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