Can you think of any recent research areas in mathematics that heavily involve monomials?

Lemma 1.2 Every monomial ideal has a unique minimal set of monomial generators, and this set is finite. Proof. The Hilbert Basis Theorem says that every ideal ... Jun 25, 2014 ... Abstract. This is a general talk in front of specialists on computational dif- ferential algebra. Monomials play a significant role in most ... Yes, x y 2 is a monomial. A monomial is an algebraic expression that consists of one term. x y 2 is one term because it is the product of variables and/or ... Our primary focus is the class of M-groups, those groups all of whose irreducible characters are monomial. A classical theorem of Taketa asserts that an M-group. (a) In the definition of a monomial ordering, prove that (iii) < is a ... and use an appropriate monomial ordering to solve 1Lx = 0,Ly = 0,Lz = 0,g ... It is important to understand when G is a Cohen-Macaulay ring, that is dim G = depthG; in this case, this is equivalent to (tg1 )∗ being a non-zerodivisor. Jun 10, 2012 ... Thank you very much, don't know how long I'd be looking for it without your help. However, I have to do `list((x*y^3).factor())`. For some ... monomial ideals. Proposition 56.1. (Gasharov-Hibi-Peeva, Miller) Let u ∈ M be a monomial, and consider the monomial ideal (M≤u) generated by the monomials ... A monomial is a polynomial, which has only one term. A monomial is an algebraic expression with a single term but can have multiple variables and a higher ... May 24, 2024 ... A monomial is a combination of numbers and letters related by only multiplication and the exponents of the letters can only be natural numbers.