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Questions of the kind "What's the name for a X that satisfies property Y?"

17 votes

What do you call this ring?

As David Speyer says, the most common ways of referring to $\prod_p \mathbb{Z}_p$ are "$\mathbb{Z}$-hat" or "the profinite completion of $\mathbb{Z}$''. However, I have also heard it called "the Pruf …
Pete L. Clark's user avatar
6 votes

Terminology for relation on sets

I agree that this is a natural and interesting property of a family of sets. From my (arithmetic-geometric) perspective, the most prominent examples of such families are the disks in an ultrametric s …
Pete L. Clark's user avatar
18 votes
Accepted

Compact and quasi-compact

I have heard this terminology used and occasionally it shows up in (somewhat informal) writing. …
8 votes
Accepted

Seeking reference for the enumerative "mass formula" concept

I do call such things "mass formulas", but then again I am a number theorist, and one of my colleagues is a quadratic form theorist who specializes in such things. So this is mostly an expression of …
Pete L. Clark's user avatar
10 votes
Accepted

Intersection of nonzero prime ideals is zero -- does it have a name?

An integral domain $R$ for which the intersection of the nonzero prime ideals is nonzero is a Goldman domain. Equivalently: the fraction field $K$ is finitely generated as an $R$-algebra (equivalentl …
Pete L. Clark's user avatar
3 votes

Terminology issue: meaning of 'ample class' ?

Consider the exponential sequence of sheaves on $X$: $0 \rightarrow \underline{\mathbb{Z}} \rightarrow \mathcal{O}_X \stackrel{\operatorname{exp}}{\rightarrow} \mathcal{O}_X^{\times} \rightarrow 0$. …
Pete L. Clark's user avatar
4 votes

Some arithmetic terminology: "universal domain", "specialization", "Chow point"

This is more of a comment than an answer, but I want to say that in my opinion this older terminology has not been completely superseded by scheme-theoretic language (only 98 percent superseded, or something …
Pete L. Clark's user avatar