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Let A be a commutative ring with unity and let F be a field. Let f be a homomorphism from A onto F. Prove that ker F is a maximal ideal in A.
Let A be an integral domain of characteristic p. Prove that if a is an element of A, and n*a = 0, where n is not a multiple of p, then a = 0.
Let A be a ring. Prove that A[X]/<x> is isomorphic to A.
Let F be a field and let J be an ideal in F[X]. Prove that J is prime if and only if its generator is irreducible over F.
Let A be an integral domain. Prove that if a is in A, a^n = 0 for some integer n, then a = 0.
Let f be a homomorphism from Z to Z. Prove that either f(x) = 0 for every x in Z, or f(x) = x for every x in Z.
The tv costs $320. This is $40 more than four times what the old is worth let "w" represent what its worth. and write an equation
Hi. I have collected data on how learners with different cofnitive styles use reading strategies. I have two groups of subjects. One cognitive style of FD and one FI, each groups has three members.They have read a text and used strategies. Group one used 34 stratgies but 20 were used by subject one 10 by subject 2 and 4 by sugject 3. Group two used 19 strategies. 4 by subject 1, 10 by subject 2 and 5 by subject 3. What statestical test can I use to see if the differnce between the two groups is significant.
Thank you
number of sides of polygons
The length of an objects shadow varies directly with its height. A boy who is 4 feet 6 inches tall casts a shadow that is 6 feet 3 inches long. What is the height of a tree that casts a shadow that is 25 feet long?
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