—Recent progress of wide-band communication systems demands high-frequency circuits. Conventionally, the linearity of the operational transconductance amplifier and ca-pacitor (OTA-C) has been analyzed using Taylor series expansion. Unfortunately, this approach does not predict the frequency-dependent linearity degradation. Thus, to properly design… (More)
It is well known that for an associative ring R, if ab is Drazin invertible then ba is Drazin invertible. In this case, (ba) D = b((ab) D) 2 a. This formula is so-called Cline's formula. In this note, we generalize Cline's formula to the case of the generalized Drazin invertibility.
The Faith-Menal conjecture says that every strongly right Johns ring is QF. The conjecture is also equivalent to say every right noether-ian left F P-injective ring is QF. In this short article, we show that the conjecture is true under the condition(a proper generalization of left CS condition) that every nonzero complement left ideal is not small(a left… (More)
In this paper, we study representations of the Moore-Penrose inverse of a 2 × 2 matrix M over a *-regular ring with two term star-cancellation. As applications, some necessary and sufficient conditions for the Moore-Penrose inverse of M to have different types are given.