Then we have to find the number of ring homomorphism from to . How many elements does the ring have?
. It is not a field but it has elements as .
Hence, if one counts the number of elements in , the number of homomorphisms you want is just the square.
Now, has elements.
The higher mathematics program caters to advanced college and university students. It is useful for I.S.I. M.Math Entrance, GRE Math Subject Test, TIFR Ph.D. Entrance, I.I.T. JAM. The program is problem driven. We work with candidates who have a deep love for mathematics. This program is also useful for adults continuing who wish to rediscover the world of mathematics.