The axioms for n-angulated categories
نویسندگان
چکیده
Triangulated categories were introduced independently in algebraic geometry by Verdier [7, 8], based on ideas of Grothendieck, and in algebraic topology by Puppe [6]. These constructions have since played a crucial role in representation theory, algebraic geometry, commutative algebra, algebraic topology and other areas of mathematics (and even theoretical physics). Recently, Geiss, Keller and Oppermann introduced in [1] a new type of categories, called n-angulated categories, which generalize triangulated categories: the classical triangulated categories are the special case n = 3. These categories appear for instance when considering certain (n − 2)-cluster tilting subcategories of triangulated categories. Conversely, certain n-angulated Calabi–Yau categories yield triangulated Calabi–Yau categories of higher Calabi–Yau dimension.
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