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Results tagged with modules
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user 9672
For questions on modules over rings.
10
votes
Accepted
Rational Canonical Form over $\mathbb{Z}/p^k\mathbb{Z}$
The problem is open, and not because nobody tried. For instance, it is known that the number of similarity classes in $M_n(\mathbf Z/p^2 \mathbf Z)$ is equal to the number of simultaneous conjugacy cl …
- 5,654
2
votes
Irreducible representations and invariant subspaces
Firstly, about "known classes" of examples. Most obviously, if $X$ itself has irreducible characteristic polynomial, in which case it does not admit invariant subspaces.
A slightly more interesting e …
- 5,654