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partially_ordered_groups [2016/11/26 16:11]
partially_ordered_groups [2016/11/26 16:12] (current)
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$\cdot$ is \emph{orderpreserving}:  $x\le y\Longrightarrow wxz\le wyz$ $\cdot$ is \emph{orderpreserving}:  $x\le y\Longrightarrow wxz\le wyz$
-Remark: This is a template. 
-If you know something about this class, click on the ``Edit text of this page'' link at the bottom and fill out this page. 
-It is not unusual to give several (equivalent) definitions. Ideally, one of the definitions would give an irredundant axiomatization that does not refer to other classes. 
==Morphisms== ==Morphisms==
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====Examples==== ====Examples====
-Example 1: +Example 1: The integers, the rationals and the reals with the usual order.
====Basic results==== ====Basic results====