Diagonability of idempotent matrices over duo rings.

Authors

  • A. Bilous Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine, Lviv, Ukraine

Keywords:

Duo ring, PT ring, idempotent matrix

Abstract

It is proved that a idempotent matrix over PT duo ring R is diagonalizable under a similarity
transformation.

References

M. Henriksen, On a class of regular rings that are elementary divisor rings, Arch. Math. 24 (1973), no. 1, 133–141.

I. Kaplansky, Elementary divisors and modules, Trans. Amer. Math. Soc. 66 (1949), 464–491.

P. Menal and J. Moncasi, On regular rings with stable range 2 ,Pure Appl. Algebra. 24 (1982), no. 1, 25–40.

A. Steger, Diagonability of idempotent matrices , Pacific J. Math. 19 (1966), no. 3, 535–542.

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