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Regular Sequences and Resultants (Hardcover)
Loot Price: R5,519
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Regular Sequences and Resultants (Hardcover)
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This carefully prepared manuscript presents elimination theory in
weighted projective spaces over arbitrary noetherian commutative
base rings. Elimination theory is a classical topic in commutative
algebra and algebraic geometry, and it has become of renewed
importance recently in the context of applied and computational
algebra. This monograph provides a valuable complement to sparse
elimination theory in that it presents in careful detail the
algebraic difficulties from working over general base rings. This
is essential for applications in arithmetic geometry and many other
places. Necessary tools concerning monoids of weights, generic
polynomials and regular sequences are treated independently in the
first part of the book. Many supplements added to each chapter
provide extra details and insightful examples. Necessary tools
concerning monoids of weights, generic polynomials and regular
sequences are treated independently in the first part of the book.
Many supplements added to each chapter provide extra details and
insightful examples.
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