Expediente v. 16 n. 32

$n$-cocoherent rings‎, ‎$n$-cosemihereditary rings and $n$-V-rings

 Let $R$ be a ring‎, ‎and let $n‎, ‎d$ be non-negative integers‎. ‎A right $R$-module $M$ is called $(n‎, ‎d)$-projective if $Ext^{d+1}_R(M‎, ‎A)=0$ for every $n$-copresented right $R$-module $A$‎. ‎$R$ is called right $n$-cocoherent if every $n$-copresented right $R$-module is $(n+1)$-coprese-nted‎, ‎it is called a right co-$(n,d)$-ring if every right $R$-module is $(n‎, ‎d)$-projective‎. ‎$R$...

$n$-cocoherent rings‎, ‎$n$-cosemihereditary rings and $n$-v-rings

let $r$ be a ring‎, ‎and let $n‎, ‎d$ be non-negative integers‎. ‎a right $r$-module $m$ is called $(n‎, ‎d)$-projective if $ext^{d+1}_r(m‎, ‎a)=0$ for every $n$-copresented right $r$-module $a$‎. ‎$r$ is called right $n$-cocoherent if every $n$-copresented right $r$-module is $(n+1)$-coprese-nted‎, ‎it is called a right co-$(n,d)$-ring if every right $r$-module is $(n‎, ‎d)$-projective‎. ‎$r$ ...

Compact, Loadable 16- and 32-bit Binary Counters

Figure 1 is a block diagram representation of the I/O and architecture for a 16 or 32-bit counter. Pin CLK is the clock signal, RST the reset signal, and LOAD the load data signal. CLK is a positive, edge-triggered synchronous signal, and LOAD is an active low, synchronous signal. Pins D0 through D15, 31 are the load data inputs, and pins Q0 through Q15, 31 are the count bits. Pin Ci is the car...

On the [32, 16, 8] BCH and quadratic residue codes

A 35 , 16 S 99 , 16 S 32 the D – Module Structure of R [ F ] – Modules

Let R be a regular ring essentially of finite type over a perfect field k. An R–module M is called a unit R[F ]–module if it comes equipped with an isomorphism F M −→ M where F denotes the Frobenius map on SpecR, and F e∗ is the associated pullback functor. It is well known that M then carries a natural DR–module structure. In this paper we investigate the relation between the unit R[F ]–struct...