Monomial maps can be used in certain cryptographic constructions.

Jan 9, 2024 ... A monomial is a mathematical expression in algebra that consists of a single term. Unlike other algebraic expressions that might have multiple terms separated ... what is a Groebner basis? ... A Groebner basis is a specific generating set of an ideal or submodule over a polynomial ring. It is not minimal in general, but has ... Feb 29, 2000 ... monomial in its degree, nothing else can have this monomial ξ1ξ2 n−1 in its image. Hence ξn cannot be a summand of an invariant polynomial ... 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. What is a Monomial Function? Power Function Power functions are a type of monomial function. A monomial function is an expression with only one term. The power ... 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 ... Monomial is defined as an expression that has a single non-zero term. It consists of different parts like the variable, the coefficient, and its degree. Mar 7, 2005 ... sequence of monomials. Macaulay [Ma] showed in 1927 that all Hilbert functions over B = k[x1, ··· , xn] are attained by lex ideals. Feb 22, 2024 ... Is 2x+3x a binomial or a monomial? Essentially, is a binomial an expression that consists of 2 unlike terms? Or can they be like terms? the monomial can be evaluated by constructing a sequence of monomials where each monomial is a product of two previous ones. Since the exponent of a ...