Let x be the image of X in the quotient ring A:=R[X,Y]/langle X^2+Y^2-1rangle. Then the element x is:

(B) irreducible, but not prime in A

Q48Section II (Mathematics)48 of 190

The classic irreducible-but-not-prime element on the coordinate ring of the circle

Let $x$ be the image of X in the quotient ring $A:=\mathbb{R}[X,Y]/\langle X^2+Y^2-1\rangle$ . Then the element $x$ is:

Pick an option to check your answer.

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