3. (4 points) Let > be any monomial order. (a) Show that a > 0 for all a € 220 (b) Show that if " divides x, then a < B.
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3. (4 points) Let > be any monomial order. (a) Show that a > 0 for all a € 220 (b) Show that if " divides x, then a < B.
3. (4 points) Let > be any monomial order. (a) Show that a > 0 for all a € 220 (b) Show that if " divides x, then a < B. Is the converse true? (C) Show that if a € Zso, then a is the smallest element of a + Z.
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