کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4588607 1334190 2007 37 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Pre-torsors and equivalences
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Pre-torsors and equivalences
چکیده انگلیسی

Properties of (most general) non-commutative torsors or A–B torsors are analysed. Starting with pre-torsors it is shown that they are equivalent to a certain class of Galois extensions of algebras by corings. It is shown that a class of faithfully flat pre-torsors induces equivalences between categories of comodules of associated corings. It is then proven that A–B torsors correspond to monoidal functors (and, under some additional conditions, equivalences) between categories of comodules of bialgebroids.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 317, Issue 2, 15 November 2007, Pages 544-580