On exact modules over a commutative exact ring
Mirosław Uscki (1979)
Colloquium Mathematicae
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Mirosław Uscki (1979)
Colloquium Mathematicae
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Richard G. Swan (1967)
Mathematische Zeitschrift
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Wolmer V. Vasconcelos (1968)
Mathematische Zeitschrift
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T. M. K. Davison (1988)
Annales Polonici Mathematici
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M. Barry, C. T. Gueye, M. Sanghare (1997)
Extracta Mathematicae
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Rodney Y. Sharp (1977)
Mathematische Zeitschrift
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R. Naghipour, H. Zakeri, N. Zamani (2003)
Colloquium Mathematicae
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Let R be a commutative multiplication ring and let N be a non-zero finitely generated multiplication R-module. We characterize certain prime submodules of N. Also, we show that N is Cohen-Macaulay whenever R is Noetherian.
Wim Ruitenburg (1987)
Compositio Mathematica
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Sanghare, Mamadou (1997)
International Journal of Mathematics and Mathematical Sciences
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Robert Gilmer, William Heinzer (1983)
Mathematica Scandinavica
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Antonio García Rodicio (1987)
Extracta Mathematicae
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V. Chilin, A. Medzhitov, P. Sukochev (1988/89)
Mathematische Zeitschrift
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Ghader Ghasemi, Kamal Bahmanpour, Jafar A'zami (2014)
Colloquium Mathematicae
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Let R be a commutative Noetherian ring, I a proper ideal of R, and M be a finitely generated R-module. We provide bounds for the cohomological dimension of the R-module M with respect to the ideal I in several cases.