Presenting the proceedings of a recently held conference in Fes, Morocco, this outstanding, up-to-date reference details the latest developments in commutative algebra - highlighting the theory of rings and ideals.
Exploring commutative algebra's connections with and applications to topological algebra and algebraic geometry, Commutative Ring Theory covers the spectra of rings...chain conditions, dimension theory, and Jaffard rings...fiber products...group rings, semigroups rings, and graded rings...class groups...linear groups...integer-valued polynomials...rings of finite fractions...big Cohen-Macaulay modules...and much more.
Furnishing over 330 literature citations, allowing further in-depth study of particular topics, Commutative Ring Theory is a vital resource for research mathematicians, algebraists, commutative ring theorists, and graduate students in these disciplines.
Proceedings of a conference held in Fes, Morocco, in April 1992. Papers discuss seminormal Mori domains, graded and tame extensions, ascending chain conditions and associated primes, Krull dimensions of graded algebras, radices in commutative rings, generalized Samuel numbers, the altitude formula, absolutely pure modules and locally injective modules, t-invertibility and comparability, AF-rings and locally Jaffard rings, and semi-artinian rings. No index. Annotation copyright Book News, Inc. Portland, Or.
" Exploring commutative algebra's connections with and applications to topological algebra and algebraic geometry, Commutative Ring Theory covers the spectra of rings chain conditions, dimension theory, and Jaffard rings fiber products group rings, semigroup rings, and graded rings class groups linear groups integer-valued polynomials rings of finite fractions big Cohen-Macaulay modules and much more!"
"Seminormal Mori Domains, V. Barucci Maximality Properties in Numerical Semigroups, with Applications to One-Dimensional Analytically Irreducible Local Domains, V. Barucci, D. Dobbs, and M. Fontana The Graded and Tame Extensions, M. Boulagouaz Ascending Chain Conditions and Associated Primes, P.-J. Cahen Polynomials Whose Derivatives Are Integer-Valued in Number Fields, J.-L. Chabert Krull Dimension of Graded Algebras, R. Chibloun and A. Micali Radices in Commutative Rings, D. Costa and G. Keller The Generalized Samuel Numbers, H. Dichi Some Locally Trivial Star-Theoretic Properties of Integral Domains, D. Dobbs and M. Zafrullah The Altitude Formula, O. Echi Absolutely Pure Modules and Locally Injective Modules, A. Facchini Krull and Valuative Dimensions of the A + XB[ X] Rings, M. Fontana, L. Izelgue, and S. Kabbaj Divisorial Ideals and Class Groups of Mori Domains, S. Gabelli t-Intertibility and Comparability, R. Gilmer, J. Mott, and M. Zafrullah AF-Ring and Locally Jaffard Rings, F. Girolami Prime t-Ideals in R[ X], E. Houston A Characterization of Semi-Artinian Rings, A. Idelhadj and A. Kaidi The Ring of Finite Fractions, T. Lucas Graded Rings and Modules, H. Matsumura Symbolic Powers, Rees Algebras, and Applications, J.-I. Nishimura Soundable Subsets of a Spectrum and Depth, G. Picavet t-Close Rings, M. Picavet-l'Hermitte Some Aspects of the Asymptotic Theory of Ideals. Generalization to Filtrations, D. Sangare Chain Conditions Arising from the Study of Nonfinitely Generated Modules Over Commutative Rings, S. Zarzuela "
Paul-Jean Cahen, Douglas L. Costa, Marco Fontana, Sarah-Eddine Kabbaj
