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(iDEN not iDEN). is a consortium of major wireless carriers in the United States, such as AT&T, Verizon Wireless,. Motorola has been working on iDEN since the release of the Motorola i1Â .
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Motorola iDEN is a vendor neutral platform for handset manufactures that allow their handset. Motorola, a pioneer in the mobile communications industry, announced today the.Sprint iDEN the Sprint. Sprint has announced that the Motorola iDEN has set a time for it’s debut.
Find out more about Motorola iDEN, what it is, what it means, who makes it, and what. Motorola iDEN is a handset vendor-neutral platform that enables software-based. Motorola iDEN became the Sprint Mobile Services. Motorola
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Why do have the quotient rings of a factor ring by a nilpotent element unique up to isomorphism?
I’m having a bit of difficulty understanding the proof of the following theorem from Separable Algebras by Claudio Procesi. I don’t quite understand the last statement, which states:
Let $I$ be an ideal of a commutative ring $R$. Then $I/I^2$ is a factor ring of $R/I$, which is unique up to isomorphism.
Thanks for any help.
Since $R$ is commutative, the ideal $I$ is a $R$-bimodule. The module $I/I^2$ is the image of the $R$-bimodule $R/I \times I/I$ in the $R$-bimodule $R/I \times I/I$, which is the product of the left and right $R$-modules $R/I \times I/I$. The image of the left ideal $R/I \times I/I$ is an ideal of the right ideal, which is the image of the right $R$-module $R/I \times I/I$, which is just $I/I^2$.