Advances in commutative ring theory: proceedings of the Third International Conference on Commutative Ring Theory in Fez, Morocco

Advances in commutative ring theory: proceedings of the Third International Conference on Commutative Ring Theory in Fez, Morocco
Автор
 
Год
 
Страниц
 
543
ISBN
 
ISBN10:0824771478
Издатель
 
CRC Press

Описание:

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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