A counterexample proves that the ring of integer-valued polynomials on an arbitrary integral domain need not be flat as a D-module.
Elliott,Integer-valued polynomial rings, t-closure, and associated primes, Comm
3 Pith papers cite this work. Polarity classification is still indexing.
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Explicit minimal graded resolutions and Betti numbers are determined for the trivial module and two cyclic modules over a graded double Ore extension of the quantum plane in the (14641) family.
Cochordal zero-divisor graphs of chain rings admit refined Betti formulas yielding 2-linear resolutions for the studied quotient rings.
citing papers explorer
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A Counterexample to Problem 19 on Integer-valued Polynomial Rings
A counterexample proves that the ring of integer-valued polynomials on an arbitrary integral domain need not be flat as a D-module.
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A note on explicit homological invariants of graded double Ore extensions
Explicit minimal graded resolutions and Betti numbers are determined for the trivial module and two cyclic modules over a graded double Ore extension of the quantum plane in the (14641) family.
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Betti numbers for cochordal zero-divisor graphs of commutative rings
Cochordal zero-divisor graphs of chain rings admit refined Betti formulas yielding 2-linear resolutions for the studied quotient rings.