---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/CommutativeAlgebra/PolynomialRingIdealOperations/bibliography.html"
source: "https://docs.magma-maths.org/CommutativeAlgebra/PolynomialRingIdealOperations/bibliography.md"
part: "Commutative Algebra"
chapter: "Polynomial Ring Ideal Operations"
breadcrumbs:
  - {"title": "Magma Handbook", "source": "../../index.md"}
  - {"title": "Commutative Algebra", "source": "../index-commutative-algebra.md"}
  - {"title": "Polynomial Ring Ideal Operations", "source": "index-polynomial-ring-ideal-operations.md"}
prev: {"title": "Functions for Polynomial Algebra and Module Generators", "source": "algebra-module.md"}
next: {"title": "Local Polynomial Rings", "source": "../LocalPolynomialRings/index-local-polynomial-rings.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-beckerweispfenning"></a>
- **[BW93]** Thomas Becker and Volker Weispfenning. *Gröbner Bases*. Graduate Texts in Mathematics. Springer, New York–Berlin–Heidelberg, 1993.
<a id="cite-clo"></a>
- **[CLO96]** David Cox, John Little, and Donal O'Shea. *Ideals, Varieties and Algorithms*. Undergraduate Texts in Mathematics. Springer, New York–Berlin–Heidelberg, 2nd edition, 1996.
<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-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-eis-sturm-reg-94"></a>
- **[ES94]** Eisenbud and Sturmfels. Finding sparse systems of parameters. *Journal of Pure and Applied Algebra*, 94:143–157, 1994.
<a id="cite-ehv-92"></a>
- **[EHV92]** D. Eisenbud, C. Huneke, and W. Vasconcelas. Direct Methods for Primary Decomposition. *Inv. math.*, 110:207–235, 1992.
<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-hartshorne"></a>
- **[Har77]** Robin Hartshorne. *Algebraic Geometry, GTM 52*. Springer, ASpringer, 1977.
<a id="cite-lazard"></a>
- **[Laz92]** Daniel Lazard. Solving Zero-dimensional Algebraic Systems. *J. Symbolic Comp.*, 13(2):117–131, 1992.
<a id="cite-steelinsep"></a>
- **[Ste05]** Allan Steel. Conquering Inseparability: Primary Decomposition and Multivariate Factorization over Algebraic Function Fields of Positive Characteristic. *J. Symbolic Comp.*, 40(3):1053–1075, 2005.