Article
Full entry |
PDF
(0.5 MB)
Feedback
PDF
(0.5 MB)
Feedback
References:
[1] D. Ferrand and M. Raynaud: Fibres formelles d’un anneau local Noetherian. Ann. Sci. Ec. Norm. Sup, $4^e$ serie t.3. (1970), 295–311. MR 0272779
[2] W. Heinzer and D. Lantz: Artinian modules and modules of which all proper submodules are finitely generated. J Algebra 95 (1985), 201–216. DOI 10.1016/0021-8693(85)90101-2 | MR 0797663
[3] D. Kirby: Coprimary decomposition of Artinian modules. J. London Math. Soc. 26 (1973), 571–576. DOI 10.1112/jlms/s2-6.3.571 | MR 0314822 | Zbl 0254.13022
[4] D. Kirby: Dimension and length for Artinian modules. Quart. J. Math. Oxford (2) 41 (1990), 419–429. DOI 10.1093/qmath/41.4.419 | MR 1081104 | Zbl 0724.13015
[5] I.G. Macdonald: Secondary representation of modules over a commutative ring. Symposia Mathematica 11 (1973), 23–43.. MR 0342506 | Zbl 0271.13001
[6] H. Matsumara: Commutative Algebra. Q.A. Benjamin, Inc., 1970. MR 0266911
[7] H. Matsumara: Commutative Ring Theory. Cambridge University Press,, 1990.
[8] D.G. Northcott: Generalized Kozsul complexes and Artinian modules. Quart. J. Math. Oxford (2) 23 (1972), 289–297. DOI 10.1093/qmath/23.3.289 | MR 0327744
[9] K. Rentschler and P. Gabriel: Sur la dimension des anneaux et ensembles ordonnes. C.R. Acad. Sci. Paris 265 (1967), 712–715. MR 0224644
[10] R.N. Roberts: Krull dimension for Artinian modules over quasi-local commutative rings. Quart. J. Math. Oxford (3) 26 (1975), 269–273. DOI 10.1093/qmath/26.1.269 | MR 0389884 | Zbl 0311.13006
[11] R.Y. Sharp: The Euler characteristic of a finitely generated module of finite injective dimension. Math. Z. 130 (1973), 79–93. DOI 10.1007/BF01178979 | MR 0319977 | Zbl 0237.13009
[12] R.Y. Sharp: Secondary representation for injective modules over commutative Noetherian rings. Proceeding of the Edinburgh Mathematical Society, 2,20, 1976, pp. 143–151. MR 0414538
[13] R.Y. Sharp: A method for the study of Artinian modules, with an application to asymptotic behaviour. Mathematical Sciences Research Institute Publications, Springer-Verlag 15 (1989), 443–465. DOI 10.1007/978-1-4612-3660-3_25 | MR 1015534
[14] R.Y. Sharp: Steps in Commutative Algebra. Cambridge University Press, 1990. MR 1070568 | Zbl 0703.13001
[15] D.W. Sharpe and P. Vamos: Injective Modules. Cambridge University Press, 1972. MR 0360706
Search
Partner of
