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<div><h1>ProductOrder -- product ordering</h1>
<div class="single"><h2>Description</h2>
<div><tt>ProductOrder</tt>{n1, ..., nr} -- an optional argument of <a href="___Monomial__Order.html" title="monomial ordering">MonomialOrder</a> in monoids handled by the <a href="_engine.html" title="">engine</a> to indicate that the monomial order is the product of r graded reverse lex orders, each with n1, n2, ..., nr variables.<p/>
This syntax is left here for compatibility with previous Macaulay2 versions.<table class="examples"><tr><td><pre>i1 : R = ZZ[a..e, MonomialOrder => ProductOrder {3,2}];</pre>
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The new syntax is <tt>R = ZZ[a..e, MonomialOrder => {3,2}];</tt>.</div>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_definition_spof_spproduct_sp_lpblock_rp_sporders.html" title="">definition of product (block) orders</a></span></li>
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<div class="waystouse"><h2>For the programmer</h2>
<p>The object <a href="___Product__Order.html" title="product ordering">ProductOrder</a> is <span>a <a href="___Self__Initializing__Type.html">self initializing type</a></span>, with ancestor classes <a href="___Basic__List.html" title="the class of all basic lists">BasicList</a> < <a href="___Thing.html" title="the class of all things">Thing</a>.</p>
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