Displaying similar documents to “Periodic Simple Modules for SU3(q2) in the Describing Characteristic p...2.”

Complexity and periodicity

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...

On large selforthogonal modules

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.

Strongly 𝒲 -Gorenstein modules

Husheng Qiao, Zongyang Xie (2013)

Czechoslovak Mathematical Journal

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Let 𝒲 be a self-orthogonal class of left R -modules. We introduce a class of modules, which is called strongly 𝒲 -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 𝒲 -Gorenstein modules is closed under finite direct sums. We also give some sufficient conditions under which the property of strongly 𝒲 -Gorenstein module can be inherited by its submodules and quotient...