---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/CommutativeAlgebra/ModulesOverMultivariateRings/bibliography.html"
source: "https://docs.magma-maths.org/CommutativeAlgebra/ModulesOverMultivariateRings/bibliography.md"
part: "Commutative Algebra"
chapter: "Modules over Multivariate Rings"
breadcrumbs:
  - {"title": "Magma Handbook", "source": "../../index.md"}
  - {"title": "Commutative Algebra", "source": "../index-commutative-algebra.md"}
  - {"title": "Modules over Multivariate Rings", "source": "index-modules-over-multivariate-rings.md"}
prev: {"title": "Cohomology Of Coherent Sheaves", "source": "cohomology.md"}
next: {"title": "Invariant Theory", "source": "../InvariantTheory/index-invariant-theory.md"}
---

# Bibliography

<a id="cite-adamsloustaunau"></a>
- **[AL94]** William Adams and Philippe Loustaunau. *An introduction to Gröbner bases*. Volume 3 of Graduate studies in mathematics. American Mathematical Society, Providence, R.I., 1994.
<a id="cite-bayerstillman"></a>
- **[BS92]** David Bayer and Michael Stillman. Computation of Hilbert Functions. *J. Symbolic Comp.*, 14(1):31–50, 1992.
<a id="cite-uag-clo"></a>
- **[CLO98]** David Cox, John Little, and Donal O'Shea. *Using Algebraic Geometry*. Graduate Texts in Mathematics. Springer, New York–Berlin–Heidelberg, 1998.
<a id="cite-decoh02"></a>
- **[DE02]** Wolfram Decker and David Eisenbud. Sheaf algorithms using the Exterior algebra. In Eisenbud and others, editors, *Computations in Algebraic Geometry with Macaulay2*, volume 8 of Springer Algorithms and Computation in Mathematics Series, 215–247. Springer-Verlag, 2002.
<a id="cite-deckerlossen"></a>
- **[DL06]** Wolfram Decker and Christoph Lossen. *Computing in Algebraic Geometry*. Volume 16 of Algorithms and Computation in Mathematics. Springer, New York–Berlin–Heidelberg, 2006.
<a id="cite-efs03"></a>
- **[EFS03]** Eisenbud, Floystad, and Schreyer. Sheaf Cohomology and Free Resolutions over Exterior Algebras. *Trans. Am. Maths. Soc.*, 355:4397–4426, 2003.
<a id="cite-eisenbudcommalg"></a>
- **[Eis95]** David Eisenbud. *Commutative Algebra with a View Toward Algebraic Geometry*. Volume 150 of Graduate Texts in Mathematics. Springer, New York–Berlin–Heidelberg, 1995.
<a id="cite-faugeref4"></a>
- **[Fau99]** Jean-Charles Faugère. A new efficient algorithm for computing Gröbner bases ($F_4$). *Journal of Pure and Applied Algebra*, 139 (1-3):61–88, 1999.
<a id="cite-grpf02"></a>
- **[GP02]** G.-M. Greuel and G. Pfister. *A Singular Introduction to Commutative Algebra*. Springer-Verlag, Berlin–Heidelberg–New York, 2002. ISBN 3-540-42897-6.
<a id="cite-lascalastillman"></a>
- **[SS98]** Roberto La Scala and Michael Stillman. Strategies for Computing Minimal Free Resolutions. *J. Symbolic Comp.*, 26(4):409–431, 1998.
<a id="cite-schreyer-tonoli"></a>
- **[ST02]** Frank-Olaf Schreyer and Fabio Tonoli. Needles in a Haystack: Special Varieties via Small Fields. In Eisenbud and others, editors, *Computations in Algebraic Geometry with Macaulay2*, volume 8 of Springer Algorithms and Computation in Mathematics Series, 251–277. Springer-Verlag, 2002.