Generalized reflexive and anti-reflexive solution for a system of equations | Zendy

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Generalized reflexive and anti-reflexive solution for a system of equations

Author(s) -

Biljačevska

Publication year - 2016

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1601055n

Subject(s) - mathematics , reflexivity , involution (esoterism) , zhàng , pure mathematics , linear algebra , algebra over a field , geometry , epistemology , law , social science , sociology , political science , china , philosophy , consciousness

In this article we find necessary and sufficient conditions for the generalized reflexive and antireflexive solution of the system of equations $ax=b$ and $xc=d$ in a ring with involution. As corollaries, among other results, we obtain some recent results from (A. Daji\'c and J. Koliha, Linear Algebra Appl. (2008)), and Li Fanliang, Hu Xiuyan and Zhang Lei, Acta Math. Scientia 28B(1) (2008)).

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