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combinatorial commutative algebra

combinatorial commutative algebra noun: a relatively new discipline in mathematics that combines techniques and concepts from combinatorics and commutative algebra, and in which the geometry of convex polytopes also plays a significant role.

Noun

combinatorial commutative algebra (uncountable)

  1. A relatively new discipline in mathematics that combines techniques and concepts from combinatorics and commutative algebra, and in which the geometry of convex polytopes also plays a significant role.
    • This construction has become a fundamental tool in combinatorial commutative algebra due to the work of Stanley, Hochster and Reisner ([Ho77], [S75], [S96], [R76]).2011, Viviana Ene, Jũrgen Herzog, Gröbner Bases in Commutative Algebra, American Mathematical Society, page 88
    • Monomial ideals and algebras are among the simplest structures in commutative algebra and the main objects in combinatorial commutative algebra.2013, Anna M. Bigatti, Philippe Gimenez, Eduardo Sáenz-de-Cabezón Introduction, Anna M. Bigatti, Philippe Gimenez, Eduardo Sáenz-de-Cabezón (editors), Monomial Ideals, Computations and Applications...

Questions about combinatorial commutative algebra

What does combinatorial commutative algebra mean?
Combinatorial commutative algebra means a relatively new discipline in mathematics that combines techniques and concepts from combinatorics and commutative algebra, and in which the geometry of convex polytopes also plays a significant role.
What part of speech is combinatorial commutative algebra?
Combinatorial commutative algebra is a noun.

Words near combinatorial commutative algebra in the dictionary

  1. combinations
  2. combinative
  3. combinator
  4. combinatorial
  5. combinatorial chemistry
  6. combinatorial commutative algebra
  7. combinatorial geometries
  8. combinatorial geometry
  9. combinatorial method
  10. combinatorial topology
  11. combinatorialism

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Adapted from Wiktionary: combinatorial commutative algebra (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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