Approximation Theorems in Commutative Algebra
Classical and Categorical Methods
(Sprache: Englisch)
Various types of approximation theorems are frequently used in general commutative algebra, and they have been found to be useful tools in valuation theory, the theory of Abelian lattice ordered groups, multiplicative ideal theory, etc.
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Klappentext zu „Approximation Theorems in Commutative Algebra “
Various types of approximation theorems are frequently used in general commutative algebra, and they have been found to be useful tools in valuation theory, the theory of Abelian lattice ordered groups, multiplicative ideal theory, etc. Part 1 of this volume is devoted to the investigation of approximation theorems from a classical point of view. The chapters of this part deal with fields and rings, partly ordered groups, and with multirings and d-groups.
Part II investigates approximation theorems from a general, categorical point of view. This part is essentially self-contained and requires only a basic knowledge of category theory and first-order logic.
For researchers and graduate students of commutative algebra, category theory, as well as applications of logic.
Inhaltsverzeichnis zu „Approximation Theorems in Commutative Algebra “
Preface. Part I: Classical Methods. 1. Approximation Theorems for Valuations of Fields. 2. Valuations on Commutative Rings. 3. Ordered Groups and Homomorphisms. 4. Approximation Theorems for Multistructures. Part II: Categorical Methods. 5. Categorical Logic. 6. Approximation Theorems in Categories. Bibliography. Index of Notation. Index.
Bibliographische Angaben
- Autoren: J. Alajbegovic , J. Mockor
- 2011, 352 Seiten, Maße: 24 cm, Gebunden, Englisch
- Verlag: Springer Netherlands
- ISBN-10: 0792319486
- ISBN-13: 9780792319481
Sprache:
Englisch
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