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Results tagged with ra.rings-and-algebras
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user 39304
Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.
3
votes
Accepted
Tor functor and invertible elements
Without any finiteness assumptions on $M$, the converse fails already for $A=k[x, y]$ ($k$ is a field).
Take $M=k[x,y^{\pm 1}]\oplus k[x^{\pm 1},y]$ and $a=(x,y)$. The module $M$ is flat over $A$ so …
- 7,377
3
votes
Accepted
Completeness of the ring of Witt vectors
This is actually true for any ring $S$ of characteristic $p$, and the argument I have in mind requires considering Witt vectors of non-perfect rings(such as $S/t^n$), so let me do it in full generalit …
- 7,377