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<div><h1>obtaining the monomial order of a ring</h1>
<div>The monomial order of a ring is stored as an option.<table class="examples"><tr><td><pre>i1 : R = QQ[x_1 .. x_10, MonomialOrder=>{4,6}];</pre>
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<tr><td><pre>i2 : options R
o2 = OptionTable{DegreeLift => null }
DegreeMap => null
DegreeRank => 1
Degrees => {{1}, {1}, {1}, {1}, {1}, {1}, {1}, {1}, {1}, {1}}
Global => true
Heft => {1}
Inverses => false
Join => null
Local => false
MonomialOrder => {MonomialSize => 32 }
{GRevLex => {1, 1, 1, 1} }
{GRevLex => {1, 1, 1, 1, 1, 1}}
{Position => Up }
SkewCommutative => {}
Variables => {x , x , x , x , x , x , x , x , x , x }
1 2 3 4 5 6 7 8 9 10
WeylAlgebra => {}
o2 : OptionTable</pre>
</td></tr>
<tr><td><pre>i3 : (options R).MonomialOrder
o3 = {MonomialSize => 32 }
{GRevLex => {1, 1, 1, 1} }
{GRevLex => {1, 1, 1, 1, 1, 1}}
{Position => Up }
o3 : VerticalList</pre>
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<tr><td><pre>i4 : S = QQ[a..d];</pre>
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<tr><td><pre>i5 : (options S).MonomialOrder
o5 = {MonomialSize => 32 }
{GRevLex => {1, 1, 1, 1}}
{Position => Up }
o5 : VerticalList</pre>
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