Abstract elementary classes induced by tilting and cotilting modules have finite character

Trlifaj, Jan

doi:10.1090/S0002-9939-08-09618-4

Abstract elementary classes induced by tilting and cotilting modules have finite character
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by Jan Trlifaj

Proc. Amer. Math. Soc. 137 (2009), 1127-1133

DOI: https://doi.org/10.1090/S0002-9939-08-09618-4

Published electronically: October 1, 2008

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Abstract:

Let $R$ be a ring and $\mathcal C$ be a cotilting class of $R$–modules. Define $A \leq B$ by $A \subseteq B$ and $A, B, B/A \in \mathcal C$. Then $(\mathcal C, \leq )$ is an abstract elementary class of finite character. An analogous result holds for all abstract elementary classes induced by tilting modules.

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