代數組合學

代數組合學是組合數學中與抽象代數相關的分支，它可以意指解決組合問題的抽象代數方法，或涉及代數問題的組合學方法。相關的數學課題包括了

  • 擬陣
  • 多胞體
  • 有限幾何
  • 組合交換代數
  • 格 (數學)

相關書目
  • Takayuki Hibi, Algebraic combinatorics on convex polytopes, Carslaw Publications, Glebe, Australia, 1992
  • Melvin Hochster, Cohen-Macaulay rings, combinatorics, and simplicial complexes. Ring theory, II (Proc. Second Conf., Univ. Oklahoma, Norman, Okla., 1975), pp. 171--223. Lecture Notes in Pure and Appl. Math., vol. 26, Dekker, New York, 1977.
  • Ezra Miller, Bernd Sturmfels, Combinatorial commutative algebra, Graduate Texts in Mathematics, vol. 227, Springer-Verlag, New York, NY, 2005. ISBN 0-387-22356-8
  • Richard Stanley, Combinatorics and commutative algebra. Second edition, Progress in Mathematics, vol. 41. Birkhäuser, Boston, MA, 1996. ISBN 0-8176-3836-9
  • Bernd Sturmfels, Gröbner bases and convex polytopes, University Lecture Series, vol. 8, American Mathematical Society, Providence, RI, 1996. ISBN 0-8218-0487-1
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