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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
4
votes
1
answer
317
views
coherent ring whose nilradical is not finitely generated
Let $A$ be a commutative ring with $1$.We say that $A$ is coherent if and only if every finitely generated ideal of $A$ is finitely presented.
Does there exist a coherent ring such that nil-radical o …
1
vote
0
answers
388
views
A criterion for purity
I have started reading the book "The Geometry of Moduli Spaces of Sheaves" by Huybrechts and Lehn. This is a statement in this book at page no.3 the last line.
"$E$
is pure if and only if all associa …