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This tag is used if a reference is needed in a paper or textbook on a specific result.

8 votes
0 answers
429 views

name for a degree-like invariant of a power series over a commutative ring

Let $R$ be a commutative ring, and let $f \in R[\![X]\!]$ be a formal power series. Sometimes (and for example, this will always be possible if $R$ is Noetherian), one may write $f$ in the form $$ f …
Neil Epstein's user avatar
  • 1,802
9 votes
0 answers
678 views

Name for a topological space where every closed set contains a closed point

A coauthor and I have stumbled upon a useful topological property -- namely, we are interested in the property that every nonempty closed set contains a closed point. However, neither of us are topol …
Neil Epstein's user avatar
  • 1,802
9 votes
0 answers
259 views

What is known about vector subspaces of polynomial rings closed under factors?

Let $R$ be a commutative ring. Call a nonempty subset $F$ of $R$ a factroid if it is closed under sums and factors. That is: If $a,b \in F$, then $a+b \in F$, and If $a,b \in R$ with $a\in R$ regul …
Neil Epstein's user avatar
  • 1,802