Re: Please help, Thanks!

On Mon, 17 Mar 2008 19:08:51 -0500, quasi <quasi@xxxxxxxx> wrote:

On Mon, 17 Mar 2008 20:00:17 EDT, steven <chasedtime@xxxxxxxxx> wrote:

May I please have he complete proof?

No -- at least not from me -- sorry.

For a problem as easy as this, you have to be part of the solving
process, otherwise no strength develops, and nothing is really
learned.

To give a further hint ...

Make a multiplication table for Z_2 x Z_2 and then follow my first
hint (count the number of elements of order 2 for each ring).

Well, my hint was well-intentioned, but flawed.

Neither ring has elements of multiplicative order 2.

And the additive groups _are_ isomorphic.

Instead, focus on multiplicative units (elements that have inverses).

R has how many units?

Z_2 x Z_2 has how many units?

To answer the above questions, it will suffice to examine the
multiplication tables, one of which you already have.

quasi
.

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