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math.AC2026
Powers of matrices with all principal minors equal to 1
Darij Grinberg
We say that a square matrix is \emph{-principled} if all its principal minors are equal to . We show that over any well-behaved ring, any power of a -principled…
math.AC2026
A constructive proof of Orzech's theorem
Darij Grinberg
Let be a commutative ring with unity, and a finitely generated -module. In 1971, Morris Orzech showed that any surjective -module homomorphism from a submodule of …