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Tree-rings --- Dendrochronology --- Research --- Technique
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Rings --- Exhibitions. --- Österreichisches Museum für Volkskunde --- Exhibitions
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The first half of the book is a general study of homomorphisms to simple artinian rings; the techniques developed here should be of interest to many algebraists. The second half is a more detailed study of special types of skew fields which have arisen from the work of P. M. Cohn and the author. A number of questions are settled; a version of the Jacobian conjecture for free algebras is proved and there are examples of skew field extensions of different but finite left and right dimension.
Commutative rings. --- Representations of rings (Algebra) --- Skew fields. --- s-fields --- Algebraic fields --- Rings (Algebra) --- Ordered algebraic structures --- Representations of rings (Algebra).
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Function spaces --- Functions, Continuous --- Rings (Algebra)
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Algebroids --- Categories (Mathematics) --- Commutative rings --- Monoids
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The aim of this book, which was originally published in 1985, is to cover from first principles the theory of Syzygies, building up from a discussion of the basic commutative algebra to such results as the authors' proof of the Syzygy Theorem. In the last three chapters applications of the theory to commutative algebra and algebraic geometry are given.
Syzygies (Mathematics) --- Rings (Algebra) --- Vector bundles. --- Fiber spaces (Mathematics) --- Algebraic rings --- Ring theory --- Algebraic fields --- Syzygy theory (Mathematics) --- Categories (Mathematics) --- Vector bundles --- 512.55 --- 512.55 Rings and modules --- Rings and modules
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Differential equations, Linear --- Functions, Meromorphic --- Matrices --- Rings (Algebra) --- Singularities (Mathematics)
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