On tilting modules for algebraic groups.
Stephen Donkin (1993)
Mathematische Zeitschrift
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Stephen Donkin (1993)
Mathematische Zeitschrift
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Roman Sikorski (1971)
Colloquium Mathematicae
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Jan Kubarski (1984)
Annales Polonici Mathematici
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Pasha Zusmanovich (2019)
Communications in Mathematics
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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).
S. Ebrahimi Atani, S. Dolati Pishhesari, M. Khoramdel (2013)
Discussiones Mathematicae - General Algebra and Applications
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We provide several characterizations and investigate properties of Prüfer modules. In fact, we study the connections of such modules with their endomorphism rings. We also prove that for any Prüfer module M, the forcing linearity number of M, fln(M), belongs to {0,1}.
Naoum, Adil G., Al-Shalgy, Layla S.M. (2000)
Beiträge zur Algebra und Geometrie
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Clezio A. Braga, Flávio U. Coelho (2009)
Colloquium Mathematicae
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We study the problem of when a direct limit of tilting modules is still a tilting module.
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.
D. D. Anderson (1977)
Colloquium Mathematicae
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Jensen, Cathrine V. (2005)
Lobachevskii Journal of Mathematics
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John Dauns (1991)
Forum mathematicum
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Manabu Harada (1972)
Publications du Département de mathématiques (Lyon)
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Manabu Harada (1974)
Publications du Département de mathématiques (Lyon)
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Libuše Tesková (2000)
Discussiones Mathematicae - General Algebra and Applications
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In this paper we introduce the class of strongly rectifiable and S-homogeneous modules. We study basic properties of these modules, of their pure and refined submodules, of Hill's modules and we also prove an extension of the second Prüfer's theorem.
Otto Kerner, Frank Lukas (1996)
Mathematische Zeitschrift
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Ch., Schofield, Aidan Riedtmann (1991)
Commentarii mathematici Helvetici
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