00000nam a2200000 a 4500 20251203112547.0 9781493909247 512.44 FON Fontana, Marco Ed. Frisch, Sophie Glaz, Sarah Commutative algebra recent advances in commutative rings, integer-valued polynomials, and polynomial functions New York Springer 2014 viii, 375 p. 24 cm. HB Includes bibliographical references _ Algebra Commutative algebra Mathematics Commutative Rings and Algebras. _ _ _ This 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 · 203158 R 163367 163367 0 0 0 1 PU PU 2016-03-09 5889.38 0 512.44 FON 203158 R