By Marco Fontana, Sophie Frisch, Sarah Glaz
This quantity provides a multi-dimensional choice of articles highlighting contemporary advancements in commutative algebra. additionally it is an intensive bibliography and lists a considerable variety of open difficulties that time to destiny instructions of analysis within the represented subfields. The contributions conceal parts in commutative algebra that experience flourished within the previous few a long time and aren't but good represented in publication shape. Highlighted issues and learn tools contain Noetherian and non- Noetherian ring conception in addition to integer-valued polynomials and functions.
Specific issues include:
· Homological dimensions of Prüfer-like rings
· Quasi entire rings
· overall graphs of rings
· houses of leading beliefs over quite a few rings
· Bases for integer-valued polynomials
· Boolean subrings
· The moveable estate of domains
· Probabilistic themes 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 homes of rings
· subject matters in fundamental closure
· Monoids and submonoids of domains
The booklet comprises twenty articles written by way of some of the such a lot popular researchers within the box. so much contributions are authored through attendees of the convention in commutative algebra held on the Graz collage of know-how in December 2012. there's additionally a small selection 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 accomplished survey articles in addition to comparable learn articles that includes fresh effects that experience no longer but been released elsewhere.
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