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Results tagged with ra.rings-and-algebras
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user 4794
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.
8
votes
Accepted
Are homogeneous components of f.g graded modules f.g ?
The answer is yes. Instead of showing that $M_n$ is finitely generated we may show it has the
property that any ascending sequence of $A_0$-submodules stabilizes. If $N$ is an $A_0$-submodule of $M_n$ …
- 3,504
5
votes
Accepted
Behavior of invariants under reduction mod p
No.
Let $G=SL_n$, acting on its defining representation $V$, with $n\geq2$.
Let $R=\mathbb{Z}[X_1,\dots,X_n]$ be the obvious $\mathbb{Z}$-form of the ring
of polynomial functions on $V$. Let $p$ be a …
- 3,504