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Results tagged with ac.commutative-algebra
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user 134942
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
3
votes
0
answers
207
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A question related to the polynomial ring $R[x]$ over some principal ideal domain $R$?
Let $R[x]$ be the polynomial ring over some principal ideal domain $R$. If $R[x]/I$ is free as a $R$-module for some ideal $I$, is $I$ a principal ideal which is generated by some monic polynomial in …
- 775
3
votes
1
answer
111
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Projectivity of some module
Let $k$ be a algebraically closed field and suppose that $A$ and $B$ are finite dimensional $k$-algebras. If we assume that $A$ is a symmetric $k$-algebra and $A\otimes_k I$ is a projective $A\otimes_ …
- 775