2 problems

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Colon-ideal description of the second minimal prime
Let $X$ and $Y$ be generic $n$ by $n$ matrices, let $I$ be the ideal generated by all entries of $XY-YX$ , and let $J$ be generated by the off-diagonal entries. The determinants for…
Conjectureopencolon-ideals commuting-matrices minimal-primesarXiv posted 2 days ago
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Colon-ideal generator conjecture for commuting matrices
Let $X$ and $Y$ be generic $n$ by $n$ matrices, let $I$ be the ideal generated by the entries of $XY-YX$ , let $J$ be the subideal generated by the off-diagonal entries, and let $E$ …
Conjectureopencolon-ideals commutative-algebra commuting-matricesarXiv posted 2 days ago

Colon-ideal description of the second minimal prime