Further results on the reverse order law for the group inverse in rings
نویسندگان
چکیده
منابع مشابه
Further results on the reverse order law for the group inverse in rings
In this paper, we use the Drazin inverse to derive some new equivalences of the reverse order law for the group inverse in unitary rings. Moreover, if the ring has an involution, we present more equivalences when both involved elements are EP.
متن کاملFurther results on the reverse order law for the Moore-Penrose inverse in rings with involution
We present some equivalent conditions of the reverse order law for the Moore–Penrose inverse in rings with involution, extending some well-known results to more general settings. Then we apply this result to obtain a set of equivalent conditions to the reverse order rule for the weighted Moore-Penrose inverse in C∗-algebras.
متن کاملFurther Results on the Reverse Order Law for Generalized Inverses
The reverse order rule (AB)† = B†A† for the Moore-Penrose inverse is established in several equivalent forms. Results related to other generalized inverses are also proved.
متن کاملthe algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولSome results on the reverse order law in rings with involution
We investigate some necessary and sufficient conditions for the hybrid reverse order law (ab) = b†a† in rings with involution. Assuming that a and b are Moore-Penrose invertible, we present equivalent condition for the product ab to be EP element.
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2014
ISSN: 0096-3003
DOI: 10.1016/j.amc.2013.12.030