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Volumn 30, Issue 7, 2002, Pages 3177-3204

The length of Noetherian modules

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EID: 0036020726     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1081/AGB-120004483     Document Type: Article
Times cited : (8)

References (20)
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    • Albu, T. Certain Artinian Lattices are Noetherian. Applications to the Relative Hopkins-Levitski Theorem. In Methods of Ring Theory; Van Oystaeyen, F., Ed.; Reidel, 1984.
    • (1984) Methods of Ring Theory
    • Albu, T.1
  • 4
    • 0012202620 scopus 로고
    • Length of submodule chains versus krull dimension in non-noetherian modules
    • Goodearl, K.R.; Zimmermann-Huisgen, B. Length of Submodule Chains Versus Krull Dimension in Non-Noetherian Modules. Math. Z. 1986, 191, 519-527.
    • (1986) Math. Z. , vol.191 , pp. 519-527
    • Goodearl, K.R.1    Zimmermann-Huisgen, B.2
  • 7
    • 0001408814 scopus 로고
    • A theory of length for noetherian modules
    • Gulliksen, T.H. A Theory of Length for Noetherian Modules. J. of Pure and Appl. Algebra 1973, 3, 159-170.
    • (1973) J. of Pure and Appl. Algebra , vol.3 , pp. 159-170
    • Gulliksen, T.H.1
  • 10
    • 0000033437 scopus 로고
    • On the Krull-Dimension of left noetherian left matlis rings
    • Krause, G. On the Krull-Dimension of Left Noetherian Left Matlis Rings. Math. Z. 1970, 118, 207-214.
    • (1970) Math. Z. , vol.118 , pp. 207-214
    • Krause, G.1
  • 11
    • 0002113898 scopus 로고
    • Transfinite powers of the Jacobson radical
    • Krause, G.; Lenagan, T.H. Transfinite Powers of the Jacobson Radical. Comm. in Algebra 1979, 7 (1), 1-8.
    • (1979) Comm. in Algebra , vol.7 , Issue.1 , pp. 1-8
    • Krause, G.1    Lenagan, T.H.2
  • 13
    • 38249026613 scopus 로고
    • The deviation, density, and depth of partially ordered sets
    • Lau, W.G.; Teply, M.L.; Boyle, A.K. The Deviation, Density, and Depth of Partially Ordered Sets. J. of Pure and Appl. Algebra 1989, 60 (3), 253-268.
    • (1989) J. of Pure and Appl. Algebra , vol.60 , Issue.3 , pp. 253-268
    • Lau, W.G.1    Teply, M.L.2    Boyle, A.K.3
  • 15
    • 0000970810 scopus 로고
    • Sur la dimension des anneaux et ensembles ordonnés
    • Rentschler, R.; Gabriel, P. Sur la Dimension des Anneaux et Ensembles Ordonnés. C.R. Acad. Sci. Paris Sér. A 1967, 265, 712-715.
    • (1967) C.R. Acad. Sci. Paris Sér. A , vol.265 , pp. 712-715
    • Rentschler, R.1    Gabriel, P.2
  • 16
    • 0012207784 scopus 로고
    • Sur les châines d'idéaux principaux dans un anneau commutatif noethérien
    • Rhodes, C. Sur les Châines d'Idéaux Principaux dans un Anneau Commutatif Noethérien. C.R. Acad. Sci. Paris Sér. A 1975, 281, 495-497.
    • (1975) C.R. Acad. Sci. Paris Sér. A , vol.281 , pp. 495-497
    • Rhodes, C.1
  • 17
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    • The krull ordinal and the length of a noetherian module
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    • (1974) J. of Pure and Appl. Algebra , vol.4 , pp. 287-291
    • Rhodes, C.1
  • 18
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    • Academic Press
    • Rowen, L. Ring Theory, Volume 1; Academic Press: 1988.
    • (1988) Ring Theory , vol.1
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  • 20
    • 0012130793 scopus 로고
    • Completely faithful modules and ideals of simple noetherian rings
    • Stafford, J.T. Completely Faithful Modules and Ideals of Simple Noetherian Rings. Bull. London Math. Soc. 1976, 8, 168-173.
    • (1976) Bull. London Math. Soc. , vol.8 , pp. 168-173
    • Stafford, J.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.