کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6416800 1336872 2012 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Semi-centralizing maps of generalized matrix algebras
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Semi-centralizing maps of generalized matrix algebras
چکیده انگلیسی

The present article is a continuation of our former work (Xiao and Wei (2010) [35]) to some extent. Motivated by Brešar's and Cheung's wonderful ideas, we will study semi-centralizing maps of generalized matrix algebras and describe its general form by routine and complicated computations. Skew-commuting maps and semi-centralizing maps of generalized matrix algebras are specially considered. We prove that any skew-commuting map on a class of generalized matrix algebras is zero and that any semi-centralizing derivation on a generalized matrix algebra is zero. These results not only give new perspectives to the work of Brešar (2004) [6] but also extend the main results of Cheung (2001) [13]. A number of applications related to semi-centralizing maps are given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 436, Issue 5, 1 March 2012, Pages 1122-1153
نویسندگان
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