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Results tagged with ag.algebraic-geometry
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user 140640
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
1
vote
1
answer
181
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Special idempotents in a commutative ring
Let $R$ be a commutative ring with $1$ and $e$ be an idempotent element of $R$ with the property that if $e=x+y$ (where $x, y\in R$), then there exists $r\in R$ such that either $e=rx$ or $e=ry$. Ca …
- 4,713
1
vote
0
answers
65
views
Non-minimal Krull associated primes of a PF-ring
A commutative ring $R$ is said to be a PF-ring if every principal ideal of $R$ is a flat $R$-module. Also, a prime ideal $P$ of $R$ to be a Krull associated prime of $R$ if
for every element $x\in P$ …
- 4,985
2
votes
1
answer
151
views
Special submodules over almost Dedekind domains
An integral domain $R$ is an almost Dedekind
domain if for each maximal ideal $m$ of $R$, the ring $R_m$ is a Dedekind
domain, where $R_m$ is the localization of $R$ at $m$.
Question: Let $M$ …
- 7,893