what is a zero divisor?
what is meant by Z*8? it says in the book that this is the group of units in Z8 but that doesn't make sense to me
2007-03-20 20:28:59 · 3 answers · asked by brandon 5 in Education & Reference ➔ Homework Help
a zero divisor is an element a for which there can be found another element b so that ab = 0.
just like b is a multiplicative inverse of a if ab = 1.
if ab = 0 then both a and b are zero divisors
2007-03-20 23:34:24 · answer #1 · answered by smokesha 3 · 2⤊ 0⤋
The Z8 in the group refers to the positive real numbers under addition modulo 8.
Z8 = {0,1,2,3,4,5,6,7}
As far as zero divisors go, I haven't the foggiest idea. Z8 is not a group under multiplication (lacks inverses), so I don't understand how there could be divisors of zero.
2007-03-20 23:04:06 · answer #2 · answered by jsprplc2006 4 · 0⤊ 3⤋
?
2007-03-20 20:39:21 · answer #3 · answered by Emu 1 · 0⤊ 3⤋