On the structure of (Mo)- and (Mu)-modules.
Hirosi Nagao, Tadasi Nakayama (1953/54)
Mathematische Zeitschrift
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Hirosi Nagao, Tadasi Nakayama (1953/54)
Mathematische Zeitschrift
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Sheila R. O'Donnell (1972)
Mathematische Zeitschrift
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Stephen Donkin (1993)
Mathematische Zeitschrift
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C. Nastasescu, F. Van Oystaeyen (1991)
Mathematische Zeitschrift
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Roman Sikorski (1971)
Colloquium Mathematicae
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Kiiti Morita, Hiroyuki Tachikawa, Yutaka Kawada (1957/58)
Mathematische Zeitschrift
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Rodney Y. Sharp (1970)
Mathematische Zeitschrift
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Otto Kerner, Frank Lukas (1996)
Mathematische Zeitschrift
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H. Ansari-Toroghy, R. Ovlyaee-Sarmazdeh (2010)
Colloquium Mathematicae
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Let R be a commutative ring with identity. The purpose of this paper is to introduce two new classes of modules over R, called Ms modules and fulmaximal modules respectively. The first (resp. second) class contains the family of finitely generated and primeful (resp. finitely generated and multiplication) modules properly. Our concern is to extend some properties of primeful and multiplication modules to these new classes of modules.
Kiiti Morita (1971)
Mathematische Zeitschrift
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Burkhard Haastert (1988)
Manuscripta mathematica
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Naoum, Adil G., Al-Shalgy, Layla S.M. (2000)
Beiträge zur Algebra und Geometrie
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Zongzhu Lin (1991)
Mathematische Zeitschrift
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Oleksandr Khomenko, Volodymyr Mazorchuk (2002)
Colloquium Mathematicae
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We prove that generalized Verma modules induced from generic Gelfand-Zetlin modules, and generalized Verma modules associated with Enright-complete modules, are rigid. Their Loewy lengths and quotients of the unique Loewy filtrations are calculated for the regular block of the corresponding category 𝒪(𝔭,Λ).