Quotients of exact categories by cluster tilting subcategories as module categories
نویسندگان
چکیده
منابع مشابه
Tilting in module categories
Let M be a module over an associative ring R and σ[M ] the category of M -subgenerated modules. Generalizing the notion of a projective generator in σ[M ], a module P ∈ σ[M ] is called tilting in σ[M ] if (i) P is projective in the category of P -generated modules, (ii) every P -generated module is P presented, and (iii) σ[P ] = σ[M ]. We call P self-tilting if it is tilting in σ[P ]. Examples ...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2013
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2013.03.007