Squarefree monomials are algebraic expressions that do not contain any variable raised to a power of two or higher. In other words, in a squarefree monomial, each variable appears with an exponent of either 0 or 1. This concept is important in various areas of algebra, particularly when discussing Gröbner bases and initial ideals, as it helps in characterizing certain properties of polynomials and their ideal structures.
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