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On corings and comodules

Hans-Eberhard Porst (2006)

Archivum Mathematicum

It is shown that the categories of R -coalgebras for a commutative unital ring R and the category of A -corings for some R -algebra A as well as their respective categories of comodules are locally presentable.

On derived equivalence classification of gentle two-cycle algebras

Grzegorz Bobiński, Piotr Malicki (2008)

Colloquium Mathematicae

We classify, up to derived (equivalently, tilting-cotilting) equivalence, all nondegenerate gentle two-cycle algebras. We also give a partial classification and formulate a conjecture in the degenerate case.

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