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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.

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Geometry of numbers for three by three matrices?

The volume of $S_1$ is $\frac{16767 \pi^4}{560} \approx 2916.53$. The idea is to realize that the set $S_1$ can be equivalently described as the nuclear norm (sum of the singular values $\sigma_i$) o …
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