When Hermite and Smith normal form are discussed in the textbooks (e.g. the one of Adkins and Weintraub) they assume the ring to be a PID. What goes wrong over UFDs? Can one still do something similar putting extra assumptions, like, for example assuming one dimensional UFD? I'd be interested, e.g., in the local ring of holomorphic germs in one variable. Are there some expositions of the subject?
2026-03-28 22:24:54.1774736694
Linear systems over UFDs
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