Differential modules
Roman Sikorski (1971)
Colloquium Mathematicae
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Roman Sikorski (1971)
Colloquium Mathematicae
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Pasha Zusmanovich (2019)
Communications in Mathematics
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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.
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).
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.
Naoum, Adil G., Al-Shalgy, Layla S.M. (2000)
Beiträge zur Algebra und Geometrie
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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}.
Bruce R. Ebanks (1995)
Forum mathematicum
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L. Fuchs, S. Bazzoni, L. Salce (1995)
Forum mathematicum
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Jan Kubarski (1984)
Annales Polonici Mathematici
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D. D. Anderson (1977)
Colloquium Mathematicae
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Laszlo Fuchs, Luigi Salce (1992)
Forum mathematicum
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Manabu Harada (1972)
Publications du Département de mathématiques (Lyon)
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Fatemeh Zareh-Khoshchehreh, Kamran Divaani-Aazar (2013)
Colloquium Mathematicae
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Let 𝓢 be a class of finitely presented R-modules such that R∈ 𝓢 and 𝓢 has a subset 𝓢* with the property that for any U∈ 𝓢 there is a U*∈ 𝓢* with U* ≅ U. We show that the class of 𝓢-pure injective R-modules is preenveloping. As an application, we deduce that the left global 𝓢-pure projective dimension of R is equal to its left global 𝓢-pure injective dimension. As our main result, we prove that, in fact, the class of 𝓢-pure injective R-modules is enveloping.
Otto Kerner, Frank Lukas (1996)
Mathematische Zeitschrift
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Nguyen V. Dung, P.F. Smith (1992)
Mathematica Scandinavica
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