پیشرفت در نظریه حلقه مبادلهای : مجموعه مقالات سومین کنفرانس بین المللی نظریه حلقه مبادلهای در فاس ، مراکش Advances in commutative ring theory: proceedings of the Third International Conference on Commutative Ring Theory in Fez, Morocco
- نوع فایل : کتاب
- زبان : انگلیسی
- نویسنده : David Dobbs
- ناشر : CRC Press
- چاپ و سال / کشور: 1999
- شابک / ISBN : 0824771478, 9780824771478, 9780585330525
Description
Presenting the proceedings of the recently held Third International Conference on Commutative Ring Theory in Fez, Morocco, this up-to-date reference details the latest developments in commutative algebra and related areas—featuring 26 original research articles and six survey articles on fundamental topics of current interest. Examining wide-ranging developments in commutative algebra, together with connections to algebraic number theory and algebraic geometry, Advances in Commutative Ring Theory covers: - monoid rings and the n-generator property - factorization and irreducibility criteria, class group, integer-valued polynomials, Skolem properties, and normsets - Koszul algebras, primary decomposition, Noetherian domains, and the Krull—Schmidt property - domains, Prüfer domains, GCD-domains, pullbacks, A + XB[X] domains, pseudo-valuation rings, Hermite rings, and semi-Steinitz rings - Krull and projective dimensions, n-coherence, Kaplansky ideal transform, trace properties, polynomial rings, formal power series rings, seminormality, and root closure - plane cubic curves, spectral topology, and completions
