کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599361 1631132 2014 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Group, Moore–Penrose, core and dual core inverse in rings with involution
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Group, Moore–Penrose, core and dual core inverse in rings with involution
چکیده انگلیسی

Let R be a ring with involution. The recently introduced notions of the core and dual core inverse are extended from matrix to an arbitrary ⁎-ring case. It is shown that the group, Moore–Penrose, core and dual core inverse are closely related and they can be treated in the same manner using appropriate idempotents. The several characterizations of these inverses are given. Some new properties are obtained and some known results are generalized. A number of characterizations of EP elements in R   are obtained. It is shown that core and dual core inverse belong to the class of inverses along an element and to the class of (b,c)(b,c)-inverses.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 463, 15 December 2014, Pages 115–133
نویسندگان
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