There are several ways to generalize the notion of "algebraic closure" from fields to arbitrary commutative rings. A good overview is On algebraic closures by R. Raphael. I am more interested in the notion suggested in Stacks/0DCK. In particular, I would like to know if there is a corresponding "...
In commutative algebra, an element b of a commutative ring B is said to be integral over A, a subring of B, if there are n ≥ 1 and aj in A such that
b
n
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a
n
−
1
b
n
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1
+
⋯
+
a
1
b
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a
0...
If a polygon can be cut into $m$ as well as into $n$ triangular pieces of equal area, can it also be cut into $m+n$ triangles of equal area?
(I'm editing after realizing that my conjecture that a convex equidissectable polygon must have an equidissection with all triangles meeting in a common v...
Since there are separate tags for a)"ODEs","differential equations" and for b)"partial differential equations" but only one tag for "stochastic differential equations", I was wondering if it is worth creating a new tag called "stochastic partial differential equations" or "SPDEs".
This is to acco...
