On finitely generated n-SG-projective modules
Driss Bennis (2010)
Colloquium Mathematicae
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We prove that finitely generated n-SG-projective modules are infinitely presented.
Driss Bennis (2010)
Colloquium Mathematicae
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We prove that finitely generated n-SG-projective modules are infinitely presented.
Husheng Qiao, Zongyang Xie (2013)
Czechoslovak Mathematical Journal
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Let be a self-orthogonal class of left -modules. We introduce a class of modules, which is called strongly -Gorenstein modules, and give some equivalent characterizations of them. Many important classes of modules are included in these modules. It is proved that the class of strongly -Gorenstein modules is closed under finite direct sums. We also give some sufficient conditions under which the property of strongly -Gorenstein module can be inherited by its submodules and quotient...
D. Simson (1974)
Colloquium Mathematicae
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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.
Yoichi Miyashita (1986)
Mathematische Zeitschrift
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Dieter Happel, Luise Unger (1996)
Mathematische Annalen
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Edgar E. Enochs, Hae-Sik Kim (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Morita, Kiiti (1971)
Mathematische Zeitschrift
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Roman Sikorski (1971)
Colloquium Mathematicae
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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.
S. Jondrup (1978)
Mathematica Scandinavica
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Pasha Zusmanovich (2019)
Communications in Mathematics
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Gang Yang, Zhongkui Liu, Li Liang (2013)
Rendiconti del Seminario Matematico della Università di Padova
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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}.
T. Nakayama (1964)
Acta Arithmetica
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