کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587985 1334167 2008 33 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Crossed products by twisted partial actions and graded algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Crossed products by twisted partial actions and graded algebras
چکیده انگلیسی

For a twisted partial action Θ of a group G on an (associative non-necessarily unital) algebra A over a commutative unital ring k, the crossed product A⋊ΘG is proved to be associative. Given a G-graded k-algebra B=⊕g∈GBg with the mild restriction of homogeneous non-degeneracy, a criteria is established for B to be isomorphic to the crossed product B1⋊ΘG for some twisted partial action of G on B1. The equality BgBg−1Bg=Bg (∀g∈G) is one of the ingredients of the criteria, and if it holds and, moreover, B has enough local units, then it is shown that B is stably isomorphic to a crossed product by a twisted partial action of G.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 320, Issue 8, 15 October 2008, Pages 3278-3310