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Results tagged with ac.commutative-algebra
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user 88277
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
0
votes
Tensor product of monomorphisms is a monomorphism?
Cool, thanks! My apologies for the inconvenient notation. Next time I will call the commutative ring $A$, I promise. ;)
Let me make your counterexample explicit: Let us write module multiplication fr …
- 63
6
votes
2
answers
2k
views
Tensor product of monomorphisms is a monomorphism?
Given a commutative ring $k$ and for $i = 1,2$ a homomorphism of $k$-modules $X_i \overset {f_i} \longrightarrow Y_i$ with $X_i$ flat over $k$.
Is the following conclusion true for general $k$? If $f …
- 63