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arxiv: 1301.2615 · v1 · pith:X3GSJ7GKnew · submitted 2013-01-11 · 🧮 math.AC

Some examples of two-dimensional regular rings

classification 🧮 math.AC
keywords ringalgebraicexamplesintegersregularregularityringssmoothness
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Let B be a ring and $A=B[X,Y]/(aX^2+bXY+cY^2-1)$ where $a,b,c\in B$. We study the smoothness of A over B, and the regularity of B when B is a ring of algebraic integers.

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