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Basic commutative algebra

By: Material type: TextTextLanguage: English Publication details: Singapore World Scientific 2022Description: xiv, 390 pISBN:
  • 9781944659936 (PB)
Subject(s):
Contents:
Rings and ideals Modules and algebras Polynomial and power series rings Homological tools I Tensor, symmetric and exterior algebras Finiteness conditions Primary decomposition Filtrations and completions Numerical functions Principal ideal theorem Integral extenstions Normal domains Transcendental extensions Affine algebras Derivations and differentials Valuation rings and valuations Homological tools II Homological dimensions Depth Regular rings Divisor class groups
Summary: Suitable for a one or two semester course in commutative algebra, this textbook provides an introduction to commutative algebra at the postgraduate and research levels.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 512.24 SIN (Browse shelf(Opens below)) Available 77309
IMSc Library 512.24 SIN (Browse shelf(Opens below)) Available 77066

Rings and ideals
Modules and algebras
Polynomial and power series rings
Homological tools I
Tensor, symmetric and exterior algebras
Finiteness conditions
Primary decomposition
Filtrations and completions
Numerical functions
Principal ideal theorem
Integral extenstions
Normal domains
Transcendental extensions
Affine algebras
Derivations and differentials
Valuation rings and valuations
Homological tools II
Homological dimensions
Depth
Regular rings
Divisor class groups

Suitable for a one or two semester course in commutative algebra, this textbook provides an introduction to commutative algebra at the postgraduate and research levels.

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The Institute of Mathematical Sciences, Chennai, India