Advances in Commutative Ring Theory (Lecture Notes in Pure and Applied Mathematics)
ISBN: 0824771478
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Advances in Commutative Ring Theory (Lecture Notes in Pure and Applied Mathematics)
Publisher: CRC; 1 edition (March 4, 1999) | ISBN-10: 0824771478 | 576 pages | DjVu | 18.3 MB
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
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