Logic seminar: Cas Burton
| Dates: | 5 March 2025 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Adults, Alumni, Current University students |
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Title: A Basis Theorem for Rings with Commuting Generalised Hasse-Schmidt Operators.
Abstract: In 1961, Kolchin proved the differential basis theorem for a differential ring with multiple derivations, provided the base ring has ACC on radical differential ideals. A few years later, Cohn presented the difference-differential basis theorem. Generalising this work, I will present a basis theorem for polynomial rings equipped with commuting generalised Hasse-Schmidt operators (in the sense of Moosa and Scanlon). This recovers the differential basis theorem of Kolchin and the difference-differential basis theorem of Cohn.
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Frank Adams 1
Alan Turing Building
Manchester
