Diagonability of idempotent matrices over duo rings.
Ключевые слова:
Duo ring, PT ring, idempotent matrixАннотация
It is proved that a idempotent matrix over PT duo ring R is diagonalizable under a similarity
transformation.
Библиографические ссылки
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.
