“Introduction to Commutative Algebra” (with Ian G. Macdonald)

Target entity: “Introduction to Commutative Algebra” (with Ian G. Macdonald)
Context triple: [Michael Atiyah, notableWork, “Introduction to Commutative Algebra” (with Ian G. Macdonald)]

• A. Moderne Algebra
  Moderne Algebra is a foundational 20th-century textbook that systematically developed abstract algebra and helped shape the modern axiomatic approach to the subject.
• B. Castelnuovo–Mumford regularity
  Castelnuovo–Mumford regularity is an invariant in commutative algebra and algebraic geometry that measures the complexity of the minimal graded free resolution of a module or sheaf, often used to control vanishing of cohomology and bounds on generators.
• C. Hilbert’s syzygy theorem
  Hilbert’s syzygy theorem is a fundamental result in commutative algebra that describes the finite length and structure of free resolutions of modules over polynomial rings.
• D. Categories for the Working Mathematician
  Categories for the Working Mathematician is a foundational textbook in category theory that systematically develops the subject and its applications for professional mathematicians.
• E. Auslander–Buchsbaum formula
  The Auslander–Buchsbaum formula is a fundamental result in commutative algebra that relates the projective dimension of a finitely generated module over a Noetherian local ring to the depth of the module and the depth of the ring.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: “Introduction to Commutative Algebra” (with Ian G. Macdonald)
Target entity description: “Introduction to Commutative Algebra” (with Ian G. Macdonald) is a classic introductory textbook that provides a concise, rigorous foundation in commutative algebra, widely used by advanced undergraduates and beginning graduate students in mathematics.

• A. Moderne Algebra
  Moderne Algebra is a foundational 20th-century textbook that systematically developed abstract algebra and helped shape the modern axiomatic approach to the subject.
• B. Castelnuovo–Mumford regularity
  Castelnuovo–Mumford regularity is an invariant in commutative algebra and algebraic geometry that measures the complexity of the minimal graded free resolution of a module or sheaf, often used to control vanishing of cohomology and bounds on generators.
• C. Hilbert’s syzygy theorem
  Hilbert’s syzygy theorem is a fundamental result in commutative algebra that describes the finite length and structure of free resolutions of modules over polynomial rings.
• D. Categories for the Working Mathematician
  Categories for the Working Mathematician is a foundational textbook in category theory that systematically develops the subject and its applications for professional mathematicians.
• E. Auslander–Buchsbaum formula
  The Auslander–Buchsbaum formula is a fundamental result in commutative algebra that relates the projective dimension of a finitely generated module over a Noetherian local ring to the depth of the module and the depth of the ring.
• F. None of above. chosen