کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4597960 1336240 2008 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the cohomology rings of small categories
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On the cohomology rings of small categories
چکیده انگلیسی

Let CC be a small category and RR a commutative ring with identity. The cohomology ring of CC with coefficients in RR is defined as the cohomology ring of the topological realization of its nerve. First we give an example showing that this ring modulo nilpotents is not finitely generated in general, even when the category is finite EI. Then we study the relationship between the cohomology ring of a category and those of its subcategories and extensions. The main results generalize certain theorems in group cohomology theory.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 212, Issue 11, November 2008, Pages 2555–2569
نویسندگان
,