Gorenstein injective and projective modules.
Overtoun M.G. Jenda, Edgar E. Enochs (1995)
Mathematische Zeitschrift
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Overtoun M.G. Jenda, Edgar E. Enochs (1995)
Mathematische Zeitschrift
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Karin Erdmann (1990)
Banach Center Publications
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Petter Andreas Bergh (2006)
Colloquium Mathematicae
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Let M be a finitely generated module over an Artin algebra. By considering the lengths of the modules in the minimal projective resolution of M, we obtain the Betti sequence of M. This sequence must be bounded if M is eventually periodic, but the converse fails to hold in general. We give conditions under which it holds, using techniques from Hochschild cohomology. We also provide a result which under certain conditions guarantees the existence of periodic modules. Finally, we study...
T. Nakayama (1964)
Acta Arithmetica
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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.
Gabriella D'Este (2006)
Commentationes Mathematicae Universitatis Carolinae
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We construct non faithful direct summands of tilting (resp. cotilting) modules large enough to inherit a functorial tilting (resp. cotilting) behaviour.
Yoichi Miyashita (1986)
Mathematische Zeitschrift
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D. Simson (1974)
Colloquium Mathematicae
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Birkenmeier, Gary F. (1989)
International Journal of Mathematics and Mathematical Sciences
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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...