Definition 1 – 9
If R is any ring and 0 ? a ? R , then a is called a zero
divisor in R if ? b ? 0 ? ab = 0 .
Example
In ( Z6 ,+6 , .6 ) , [ 3 ] .6 [4 ] = [ 0 ] , then [ 3 ] , [ 4 ] are zero divisors
of Z6 .
Example
If X = { a , b } , then P ( X ) = { { a } , { b } , X , ? } .
{ a } ? { b } = ? , in which {a} , {b} ?? , then {a} , {b} are zero divisors
of ( P(X) , ? , ? ) .
Definition 1 – 9
If R is any ring and 0 ? a ? R , then a is called a zero
divisor in R if ? b ? 0 ? ab = 0 .
Example
In ( Z6 ,+6 , .6 ) , [ 3 ] .6 [4 ] = [ 0 ] , then [ 3 ] , [ 4 ] are zero divisors
of Z6 .
Example
If X = { a , b } , then P ( X ) = { { a } , { b } , X , ? } .
{ a } ? { b } = ? , in which {a} , {b} ?? , then {a} , {b} are zero divisors
of ( P(X) , ? , ? ) .