Singular is a special system for polynomial computation with many features for global as well as for local commutative algebra and algebraic geometry the text starts with the theory of rings and modules and standard bases with emphasis on local rings and localization it is followed by the central concepts of commutative algebra such as integral closure dimension theory primary decomposition hilbert function completion flatness and homological algebra there is a substantial appendix . A singular introduction to commutative algebra aims to lead a further stage in the computational revolution in commutative algebra among the great strengths and most distinctive features is a new completely unified treatment of the global and local theories greuel and pfister have written a distinctive and highly useful book that should be in the library of every commutative algebraist and algebraic geometer expert and novice alike. A singular introduction to commutative algebra amazonde greuel gert martin pfister gerhard bachmann o lossen c schonemann h fremdsprachige bucher. A singular introduction to commutative algebra by gert martin greuel and gerhard pfister with contributions by olaf bachmann christoph lossen and hans schonemann this book has been written to learn commutative algebra in a new style taking into account modern developments such as algorithmic and computational aspects
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