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**Some model theory of sheaves of modules.**
*(English)*
Zbl 1081.03035

Summary: We explore some topics in the model theory of sheaves of modules. First we describe the formal language that we use. Then we present some examples of sheaves obtained from quivers. These, and other examples, will serve as illustrations and as counterexamples. Then we investigate the notion of strong minimality from model theory to see what it means in this context. We also look briefly at the relation between global, local and pointwise versions of properties related to acyclicity.

### MSC:

03C60 | Model-theoretic algebra |

16B70 | Applications of logic in associative algebras |

16S60 | Associative rings of functions, subdirect products, sheaves of rings |

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\textit{M. Prest} et al., J. Symb. Log. 69, No. 4, 1187--1199 (2004; Zbl 1081.03035)

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### References:

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[2] | Handbook of categorical algebra 3 (1994) |

[3] | Locally presentable and accessible categories 189 (1994) |

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[6] | Cohomology of sheaves (1986) · Zbl 1272.55001 |

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[9] | Abelian categories with applications to rings and modules (1973) |

[10] | Memoirs of the American Mathematical Society 70 (1967) |

[11] | Locally finitely presented categories of sheaves of modules (2001) |

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