SCHNEIDER AUTOMATION MODICON 140CPS21400 POWER SUPPLY 8AMP 24VDC, PV: 03, RL: 19
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SCHNEIDER AUTOMATION MODICON 140CPS21400 POWER SUPPLY 8AMP 24VDC,
PV: 03, RL: 19
Throughout these notes, all rings are assumed to be commutative
with identity. §1. Definitions and examples Definition 1.1. A ring R is called graded (or more precisely,
Z-graded ) if there exists a family of subgroups {Rn}n∈Z of R such
that (1) R = ⊕nRn (as abelian groups), and (2) Rn · Rm ⊆ Rn+m for all n, m. A graded ring R is called nonnegatively graded (or N- graded) if Rn
= 0 for all n ≤ 0. A non-zero element x ∈ Rn is called a
homogeneous element of R of degree n. Remark 1.1. If R = ⊕Rn is a
graded ring, then R0 is a subring of R, 1 ∈ R0 and Rn is an
R0-module for all n. proof. As R0 · R0 ⊆ R0, R0 is closed under
multiplication and thus is a subring of R. To see that 1 ∈ R0, write 1 = P n xn where each xn ∈ Rn and all but finitely many of the xn’s are zero. Then for all i, xi = 1 · xi = X n xixn. By comparing degrees, we see that xi = xix0 for all i. Therefore, x0 = 1 · x0 = X n xnx0 = X n xn = 1. Hence 1 = x0 ∈ R0. The last statement follows from the fact that R0
· Rn ⊆ Rn for all n. Exercise 1.1. Prove that all units in a graded domain are
homogeneous. Also, prove that if R is a graded field then R is
concentrated in degree 0; i.e., R = R0 and Rn = 0 for all n 6= 0. Exercise 1.2. Let R be a graded ring and I an ideal of R0. Prove
that IR ∩ R0 = I. Examples of graded rings abound. In fact, every
ring R is trivially a graded ring by letting R0 = R and Rn = 0 for
all n 6= 0. Other rings with more interesting gradings are given
below.
The CableFast wiring system eliminates wiring between the I/O
module and field wiring terminal blocks. The CableFast
Manufacturer Schneider Electric Series Modicon Quantum Warranty 2 year Module format Standard Power supply type Summable Input voltage 24 V DC 20...30 V Input current <= 3800 mA Inrush current 25 A 24 V 14 A 20 V Input power interruption 1 ms 20 V <= 100 ms Associated fuse rating 5 A slow-blow Output voltage 5.1 V DC Power supply output current 8 A summable Output overvoltage protection Internal Output overload protection Internal Power dissipation 6 + (1.8 x Iout) where Iout is in A Alarm output 1 NC 6 A 220 V power supply fault Local signalling 1 LED green power (PWR OK) Marking CE
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