کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4596205 | 1336155 | 2014 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Two-dimensional regularity and exactness
ترجمه فارسی عنوان
منظم بودن دو بعدی و دقیق بودن آن
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
We define notions of regularity and (Barr-)exactness for 2-categories. In fact, we define three notions of regularity and exactness, each based on one of the three canonical ways of factorising a functor in Cat: as (surjective on objects, injective on objects and fully faithful), as (bijective on objects, fully faithful), and as (bijective on objects and full, faithful). The correctness of our notions is justified using the theory of lex colimits [12] introduced by Lack and the second author. Along the way, we develop an abstract theory of regularity and exactness relative to a kernel–quotient factorisation, extending earlier work of Street and others [24] and [3].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 218, Issue 7, July 2014, Pages 1346–1371
Journal: Journal of Pure and Applied Algebra - Volume 218, Issue 7, July 2014, Pages 1346–1371
نویسندگان
John Bourke, Richard Garner,