By Marco Fontana,Sophie Frisch,Sarah Glaz
This quantity provides a multi-dimensional choice of articles highlighting contemporary advancements in commutative algebra. it is also an in depth bibliography and lists a considerable variety of open difficulties that time to destiny instructions of analysis within the represented subfields. The contributions hide parts in commutative algebra that experience flourished within the previous couple of many years and aren't but good represented in e-book shape. Highlighted issues and study equipment contain Noetherian and non- Noetherian ring thought in addition to integer-valued polynomials and functions.
Specific subject matters include:
· Homological dimensions of Prüfer-like rings
· Quasi entire rings
· overall graphs of rings
· houses of leading beliefs over a variety of rings
· Bases for integer-valued polynomials
· Boolean subrings
· The moveable estate of domains
· Probabilistic subject matters in Intn(D)
· Closure operations in Zariski-Riemann areas of valuation domains
· balance of domains
· Non-Noetherian grade
· Homotopy in integer-valued polynomials
· Localizations of worldwide homes of rings
· subject matters in imperative closure
· Monoids and submonoids of domains
The e-book comprises twenty articles written by means of some of the such a lot well known researchers within the box. so much contributions are authored by way of attendees of the convention in commutative algebra held on the Graz collage of expertise in December 2012. there's additionally a small choice of invited articles authored via those that didn't attend the convention. Following the version of the Graz convention, the amount incorporates a variety of entire survey articles besides similar learn articles that includes fresh effects that experience no longer but been released elsewhere.
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Additional info for Commutative Algebra: Recent Advances in Commutative Rings, Integer-Valued Polynomials, and Polynomial Functions
Commutative Algebra: Recent Advances in Commutative Rings, Integer-Valued Polynomials, and Polynomial Functions by Marco Fontana,Sophie Frisch,Sarah Glaz