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#

2 Basic monomial operations and representations

Given an integer *n* > 0 we define the set of exponent vectors *M*_{n}
by
.
Notice that monomials usually denote terms of the form
.
However, in this paper we do
only consider the exponent vector of a monomial and shall therefore
use the words exponent vector and monomial interchangeably (i.e., we
identify a monomial with its exponent vector).
We furthermore use Greek letters to denote monomials and the letter
*n* to denote the a-priory given length of monomials (which is the
number of variables in the corresponding polynomial ring).

Monomials play a central role in GB computations. In this section, we
describe the basic monomial operations and discuss basic facts about
monomial (resp. polynomial) representations for GB computations.

** Next:** 1 monomial operations
** Up:** Monomial Representations for Gröbner Computations
** Previous:** 1 Introduction
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