combinatorial commutative algebra
Word Rarity
Very rare
Frequency: Zipf frequency 2.26 in modern English
49
Scrabble Score
31
Letters
12
Syllables
14
Unique Chars
Meaning
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.
Uncountable
Example Sentences
- "This construction has become a fundamental tool in combinatorial commutative algebra due to the work of Stanley, Hochster and Reisner ([Ho77], [S75], [S96], [R76])."
- "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, Springer, page vii, Monomial ideals and algebras are among the simplest structures in commutative algebra and the main objects in combinatorial commutative algebra."
- "Using techniques from combinatorial commutative algebra [MS05, KM], they showed that certain lattice games admit a particular type of algebraic decomposition known as affine stratifications, from which a finitely representable winning strategy can be recovered."