01930nam a2200289 a 450000500170000002000180001708200160003510000230005110000190007410000160009324501160010926000290022530000290025450000400028360000080032363000120033163000240034363000160036763000360038385600060041985600060042596400160043196510910044799700130153899900190155195200700157020251203112547.0  a9781493909247  a512.44bFON  aFontana, Marco Ed.  aFrisch, Sophie  aGlaz, Sarah  aCommutative algebrabrecent advances in commutative rings, integer-valued polynomials, and polynomial functions  aNew YorkbSpringerc2014  aviii, 375 p.c24 cm.bHB  aIncludes bibliographical references  bc_  aAlgebra  aCommutative algebra  aMathematics  aCommutative Rings and Algebras.  f_  a_  bcdefg_  aThis volume presents a multi-dimensional collection of articles highlighting recent developments in commutative algebra. 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 as well as integer-valued polynomials and functions. Specific topics include: · Homological dimensions of Prüfer-like rings · Quasi complete rings · Total graphs of rings · Properties of prime ideals over various rings · Bases for integer-valued polynomials · Boolean subrings · The portable property of domains · Probabilistic topics in Intn(D) · Closure operations in Zariski-Riemann spaces of valuation domains · Stability of domains · Non-Noetherian grade · Homotopy in integer-valued polynomials · Localizations of global properties of rings ·  a203158 R  c163367d163367  00104071aPUbPUd2016-03-09g5889.38l0o512.44 FONp203158yR