Let > be a monomial order. If m_1 > m_2 > m_3 > ... is a decreasing sequence of monomials, prove that there exists a t such that m_t =m_{t+1} = ... (any decreasing sequence of monomials is eventually stationary)
Let > be a monomial order. If m_1 > m_2 > m_3 > ... is a decreasing sequence of monomials, prove that there exists a t such that m_t =m_{t+1} = ... (any decreasing sequence of monomials is eventually stationary)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
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Let > be a monomial order. If m_1 > m_2 > m_3 > ... is a decreasing sequence of monomials, prove that there exists a t such that m_t =m_{t+1} = ... (any decreasing sequence of monomials is eventually stationary)
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