Which of the following elements of the following rings are units? Select all that apply: O The element 1+X of the ring C[X]. O The element [105] of the ring Z/2020. O The element [17] of the ring Z/2020. O The element 105 of the ring Q[X].

Q: Find the inverse of X + (X² – 8X + 7) in the form aX + b in the ring Q[X]/(X² – 8X + 7). - a b =…

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Q: 38

A: To check: Whether Z6 is a subring of Z12 or not.

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Q: Enter the multiplicative inverse of the element [22]44 x + [17]44 in the ring ℤ44[x]. When you…

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Q: Q1: what's the relation between prime and semiprime ideals.

A: As per the guidelines we are supposed yo solve the first question.kindly post another questions…

Q: Enter the multiplicative inverse of the element [21]49 X+ [18]49 in the ring Z49[x].

A: Extended Euclidean Algorithm

Q: Find all possible ring homomorphisms o : Z10 --->Z15 (b) In each case identify the Kern

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Q: don't understand how phi(a+c)=a+c. Please explain. Thank you

A: Given

Q: 4. Write out the addition and multiplication tables for each congruence class ring below, then…

A: Given that Congruence class ring  ℤ3x/x2+1 and ℤ2x/x2+1. We have to write addition and…

Q: Let's enlarge the ring R, by adjoining a new element & such that ² = 0. In this way, we'll obtain a…

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