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Rings, Polynomials, and Modules (Hardcover, 1st ed. 2017)
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Rings, Polynomials, and Modules (Hardcover, 1st ed. 2017)
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This volume presents a collection of articles highlighting recent
developments in commutative algebra and related non-commutative
generalizations. It also includes an extensive bibliography and
lists a substantial number of open problems that point to future
directions of research in the represented subfields. The
contributions cover areas in commutative algebra that have
flourished in the last few decades and are not yet well represented
in book form. Highlighted topics and research methods include
Noetherian and non-Noetherian ring theory, module theory and
integer-valued polynomials along with connections to algebraic
number theory, algebraic geometry, topology and homological
algebra. Most of the eighteen contributions are authored by
attendees of the two conferences in commutative algebra that were
held in the summer of 2016: "Recent Advances in Commutative Ring
and Module Theory," Bressanone, Italy; "Conference on Rings and
Polynomials" Graz, Austria. There is also a small collection of
invited articles authored by experts in the area who could not
attend either of the conferences. Following the model of the talks
given at these conferences, the volume contains a number of
comprehensive survey papers along with related research articles
featuring recent results that have not yet been published
elsewhere.
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