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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.

5 votes
1 answer
757 views

Is the ring of power series with coefficients in a field free as a module over the polynomia... [closed]

Is the ring of power series with coefficients in a field free as a module over the polynomials subring?
1 vote
1 answer
319 views

Uniqueness of a closed subscheme in a disjoint union

Let $Z =C \cup F$ be a disjoint scheme union of closed subschemes of Pn. Let $p_C$ be the Hilbert polynomial; assume (1) $F$ finite, reduced, (2) all irreducible components of $C$ are positive dime …