www.bbcnoun.com.ng 10/10 A proper ideal P of a ring R is called a …. if whenever ab ∈ P for a, b∈ R, then either a ∈ P or b∈ P prime ideal of R Find the quotient when x4+x3+5x2 –x is divisible by x2+x+1 -5x-4 A group G is called a cyclic group if for all a∈G and e∈G where is the identity element. G = < {a} > A ring R has no zero divisors if and only if the ……… cancellation law for multiplication hold Which of this following is an maximal in Z10. {0¯, 2¯ 4¯, 6,¯ 8¯} A non-zero element in a ring R is called a ……. in R if there exists a non-zero element b in R such that ab = 0 zero divisor Every group of prime order is Cyclic Let R be an integral domain. An element a ∈ R is called an invertible element in R, if we can find an element b ∈ R, such that ab = 1, If G is a finite group such that o(G) is neither 1 nor a prime, then G has non-trivial proper subgroups Find the remainder if 347 is divisible by 23 27