کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5499909 1533715 2018 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On groupoid gradings
ترجمه فارسی عنوان
در رده بندی گروهی
کلمات کلیدی
جبری درجه بندی شده گروهی نظریه ساختار جبر لورنتس، جبر ماتریکس،
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی

We introduce the notion of groupoid grading, give some nontrivial examples and prove that groupoid gradings on simple commutative or anti-commutative algebras are necessarily group gradings. We also take advantage of the structure of groupoids to prove some results about groupoid gradings and certain coarsenings of these which turn out to be group gradings. We also study set gradings on arbitrary algebras, by characterizing their homogeneous semisimplicity and their homogeneous simplicity in terms of a property satisfied by the supports of the gradings, and also relate set gradings with groupoid gradings via coarsenings. Finally we study a class of set gradings on Mn(C), the orthogonal gradings, and show that all of them which are fine are necessarily groupoid gradings.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 123, January 2018, Pages 61-70
نویسندگان
, , ,