The Kazhdan-Lusztig Conjecture for Generalized Verma Modules
David H. Collingwood, Luis G. Casian (1987)
Mathematische Zeitschrift
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David H. Collingwood, Luis G. Casian (1987)
Mathematische Zeitschrift
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Shmuel Friedland (2001)
Annales Polonici Mathematici
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We show that the plane Jacobian conjecture is equivalent to finite generatedness of certain modules.
Jing-song Huang (1993)
Mathematische Annalen
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Roman Sikorski (1971)
Colloquium Mathematicae
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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).
Naoum, Adil G., Al-Shalgy, Layla S.M. (2000)
Beiträge zur Algebra und Geometrie
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Pasha Zusmanovich (2019)
Communications in Mathematics
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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.
Satya Mandal (1985)
Mathematische Zeitschrift
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D. D. Anderson (1977)
Colloquium Mathematicae
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Ch., Schofield, Aidan Riedtmann (1991)
Commentarii mathematici Helvetici
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Henning Haahr Andersen (1987)
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.
David C. Marshall (2004)
Acta Arithmetica
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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}.
Hans-Bjorn Foxby (1972)
Mathematica Scandinavica
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Takahiro Hayashi (1988)
Inventiones mathematicae
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