On projective resolutions of flat modules
D. Simson (1974)
Colloquium Mathematicae
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D. Simson (1974)
Colloquium Mathematicae
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Driss Bennis (2010)
Colloquium Mathematicae
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We prove that finitely generated n-SG-projective modules are infinitely presented.
S. Jondrup (1982)
Mathematica Scandinavica
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Frank W. Anderson (1978)
Mathematica Scandinavica
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Overtoun M.G. Jenda, Edgar E. Enochs (1995)
Mathematische Zeitschrift
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S. Jondrup (1971)
Mathematica Scandinavica
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S. Jondrup (1970)
Mathematica Scandinavica
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R. Gilmer, W. Heinzer (1992)
Mathematica Scandinavica
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István Beck (1982)
Mathematica Scandinavica
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Hans-Bjorn Foxby (1972)
Mathematica Scandinavica
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S. Jondrup, P.J. Trosborg (1974)
Mathematica Scandinavica
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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.
S. Jondrup (1970)
Mathematica Scandinavica
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Dieter Happel, Luise Unger (1996)
Mathematische Annalen
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Yoichi Miyashita (1986)
Mathematische Zeitschrift
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