Abstract
<abstract><p>In this paper, we give the existence and uniqueness theorems for non-lightlike framed surfaces and define a special non-lightlike ruled surface in Minkowski 3-space. It may have singularities. We give the conditions for identifying cross-caps and surfaces as developable and maximal. Besides, we demonstrate that if the spacelike ruled surface is developable, then the $ z $-parameter curve is an asymptotic curve if and only if the ruled surface is maximal.</p></abstract>
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