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arxiv: 1105.5290 · v7 · pith:GJKV7ZYSnew · submitted 2011-05-26 · 🧮 math.NT · math.AG

Belian categories

classification 🧮 math.NT math.AG
keywords categoriessheavesalgebraapplybasebeliancertainchange
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We instal homological algebra, including derived functors, on certain non-additive categories like categories of pointed CW-complexes, modules of monoids or sheaves thereof. We apply this theory to Monoid schemes and sheaves on them, compare the result with the base change and prove several structural theorems.

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