Question: subject: abstract algebra For each part: decide Whether the given subset S of a ring R is a subring, an ideal, a prime ideal, a

subject: abstract algebra

For each part: decide Whether the given subset S of a ring R is a subring, an ideal, a prime ideal, a maximal ideal, and / or a principal ideal. Justify your answers. a awezw: 2W} ( )3 (b)S =(:c4 +1, 3:2 +1) 1nR QM. (0)3 =(5 ) 1n R Z11 (d) S: {a} in R: Z for some a. E Z. (Your answer may or may not depend on the choice of a E Z.) a

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