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4 votes
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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 …
Anoop singh's user avatar
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 …
Anoop singh's user avatar