Speaker: Jason Boynton - North Dakota State University
Title: Transference of ring-theoretic properties in D+M (and generalizations)
Abstract: The famous D+M construction was introduced by Krull in 1936 and popularized by Gilmer in 1968. This construction is similar to the ring Int(E,D) of integer-valued polynomials on a finite subset E of D in the since that they are both definable by a pullback square. Since the Prufer condition is "well-behaved" in both constructions, one might be led to (correctly) suspect that the same property is also controlled in the more general pullback setting. We also discuss some various factorization properties and show that a pullback similar to Int(E,D) furnishes an example of an atomic integral domain that does not satisfy the ascending chain condition on principal ideals.
