Given a matrix with entries drawn from some field or commutative ring, what are the conditions for the determinant to be preserved mod some ideal? For a concrete example, I am thinking of matrices with entries drawn from $\mathbb{Z}/4\mathbb{Z}$. I would appreciate any direction on this: this feels like a common question, but I am having trouble finding resources. Thanks!
2026-03-31 03:26:52.1774927612
Preservation of determinants mod some ideal
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