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Results tagged with ac.commutative-algebra
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user 88058
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
5
votes
1
answer
488
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Injective homomorphism of modules and tensor product
Let $R$ be a commutative ring; let $M$, $N$ be $R$-modules and let $f\colon M\to N$ be an injective homomorphism of $R$-modules. Is $f\otimes {\rm id}\colon M\otimes_RN\to N\otimes_RN$ injective?
- 351
0
votes
0
answers
117
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Multiplicity of a polynomial in positive characteristic
Let $\mathbb K$ be a field of characteristic $p>0$.
Let $f\in\mathbb K[x_1,\dots,x_n]$ be a multivariate polynomial and let $q\in\mathbb K^n$. Is there a computational method to determine the multipli …
- 351