- #1
Shackleford
- 1,656
- 2
I found the unity to be 1. I'm not sure how to determine 3) for each.
http://i111.photobucket.com/albums/n149/camarolt4z28/IMG_20110805_224110.jpg?t=1312602377
http://i111.photobucket.com/albums/n149/camarolt4z28/IMG_20110805_224012.jpg?t=1312602392
Integral Domain:
1) D has to be commutative ring (under multiplication)
2) D has to have a unity not equal to zero (also under multiplication)
3) D has to have no zero divisors (ab = 0)
Field:
1) F has to be commutative ring (under multiplication)
2) F has to have a unity not equal to zero (also under multiplication)
3) Each nonzero element in F has to have a multiplicative inverse
http://i111.photobucket.com/albums/n149/camarolt4z28/IMG_20110805_224110.jpg?t=1312602377
http://i111.photobucket.com/albums/n149/camarolt4z28/IMG_20110805_224012.jpg?t=1312602392
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