Given a ring do the following: identify the zero element element; identify the a
ID: 3184247 • Letter: G
Question
Given a ring do the following: identify the zero element element; identify the additive inverse of a given element; determine whether it is commutative; determine whether the ring has a multiplicative identity; and describe any units in the ring and their multiplicative inverses; identify any zero divisors in the ring. Use these directions for the following rings: Z (integers),Q (rationals),R(real),C (complex).Given a ring do the following: identify the zero element element; identify the additive inverse of a given element; determine whether it is commutative; determine whether the ring has a multiplicative identity; and describe any units in the ring and their multiplicative inverses; identify any zero divisors in the ring. Use these directions for the following rings: Z (integers),Q (rationals),R(real),C (complex).
Use these directions for the following rings: Z (integers),Q (rationals),R(real),C (complex).
Explanation / Answer
Z is not ring as multiplicative inverse not exixts
Q,R,C are rings.
zero element are :0,( for allQ,R,C)
addive inverse of a : -a (for all Q,R,C)
Q,R,C all are commutative.
Q,R,C all are multiplicative identity.
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