کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9493260 1334231 2005 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Central ideals and Cartan invariants of symmetric algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Central ideals and Cartan invariants of symmetric algebras
چکیده انگلیسی
In this paper, we investigate certain ideals in the center of a symmetric algebra A over an algebraically closed field of characteristic p>0. These ideals include the Higman ideal and the Reynolds ideal. They are closely related to the p-power map on A. We generalize some results concerning these ideals from group algebras to symmetric algebras, and we obtain some new results as well. In case p=2, these ideals detect odd diagonal entries in the Cartan matrix of A. In a sequel to this paper, we will apply our results to group algebras.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 293, Issue 1, 1 November 2005, Pages 243-260
نویسندگان
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