Equivalence of von Neumann regular and idempotent matrices
Dirk Huylebrouck (1991)
Czechoslovak Mathematical Journal
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Dirk Huylebrouck (1991)
Czechoslovak Mathematical Journal
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Huylenbrouck, D. (1994)
Portugaliae Mathematica
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Frank J. Hall, Robert E. Hartwig, Irving Jack Katz, Morris Newman (1983)
Czechoslovak Mathematical Journal
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Yu Guan, Zhaojia Tong (2015)
Open Mathematics
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In this paper, we mainly derive the general solutions of two systems of minus partial ordering equations over von Neumann regular rings. Meanwhile, some special cases are correspondingly presented. As applications, we give some necessary and sufficient conditions for the existence of solutions. It can be seen that some known results can be regarded as the special cases of this paper.
Yasuyuki Hirano (1994)
Publicacions Matemàtiques
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A ring R is said to be if, for any principal left ideal I of R, any left R-homomorphism I into R extends to one of R into itself. In this note left nonsingular left p-injective rings are characterized using their maximal left rings of quotients and the structure of semiprime left p-injective rings of bounded index is investigated.