کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8897636 1630747 2018 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The additive completion of the biset category
ترجمه فارسی عنوان
تکمیل افزودنی از دسته بیست
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی
Let R be a commutative unital ring. We construct a category CR of fractionsX/G, where G is a finite group and X is a finite G-set, and with morphisms given by R-linear combinations of spans of bisets. This category is an additive, symmetric monoidal and self-dual category, with a Krull-Schmidt decomposition for objects. We show that CR is equivalent to the additive completion of the biset category and that the category of biset functors over R is equivalent to the category of R-linear functors from CR to R-Mod. We also show that the restriction of one of these functors to a certain subcategory of CR is a fused Mackey functor.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 222, Issue 2, February 2018, Pages 297-315
نویسندگان
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