Zero-dimensional commutative rings : proceedings of the 1994 John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory
著者
書誌事項
Zero-dimensional commutative rings : proceedings of the 1994 John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory
（Lecture notes in pure and applied mathematics, v. 171）
M. Dekker, c1995
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注記
"This volume consists of the Proceedings ..., held April 7-9, 1994, at the University of Tennessee, Knoxville"--Pref
Includes bibliographical references and index
内容説明・目次
内容説明
This work presents advances in zero-dimensional commutative rings and commutative algebra. It illustrates the research frontier with 52 open problems together with comments on the relevant literature, and offers a comprehensive index for easy access to information. Wide-ranging developments in commutative ring theory are examined.
目次
- Background and preliminaries on zero-dimensional rings
- zero-dimensionality and products of commutative rings
- zero-dimensional extension rings and subrings
- residue fields of zero-dimensional rings
- dimensions of extension rings
- Picard groups, cancellation and the multiplicative structure of fields
- derivations and deformations of zero-dimensional rings and algebras
- the ring R[X,r/X]
- P.M. Cohn's completely primal elements
- some factorization properties of the ring of integer-valued polynomials
- on the nonuniversality of weak normalization
- a visit to valuation and pseudo-valuation domains
- answer to a question on the principal idea theorem
- on the Davenport constant, the cross number, and their application in factorization theory
- the Picard group of a polynomial ring
- integral extensions with fibers of prescribed cardinality
- homological dimensions of localizations of polynomial rings
- splitting rings for p-local torsion-free groups
- prime ideals in birational extensions of polynomial rings II
- duals of ideals in pullback constructions
- cancellation and prime spectra
- the ascending chain condition on n-generated submodules
- more almost Dedekind domains and Prufer domains of polynomials
- direct limits of finite products of fields
- Eisenstein-type irreducibility criteria
- on integer-valued polynomials
- the prime spectrum of an infinite product of zero dimensional rings
- when is a self-injective ring zero-dimensional?
- some problems in commutative ring theory.
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