By Marco Fontana,Sophie Frisch,Sarah Glaz

This quantity provides a multi-dimensional number 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 components in commutative algebra that experience flourished within the previous few many years and aren't but good represented in booklet shape. Highlighted subject matters and examine tools comprise Noetherian and non- Noetherian ring conception 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

· homes of top beliefs over numerous 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 world houses of rings

· issues in imperative closure

· Monoids and submonoids of domains

The ebook comprises twenty articles written through a number of the such a lot well-known researchers within the box. such a lot 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 selection of invited articles authored by means of those that didn't attend the convention. Following the version of the Graz convention, the amount includes a variety of finished survey articles besides comparable examine articles that includes fresh effects that experience now not but been released elsewhere.

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Commutative Algebra: Recent Advances in Commutative Rings, Integer-Valued Polynomials, and Polynomial Functions by Marco Fontana,Sophie Frisch,Sarah Glaz

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