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IsRing is supposed to apply if IsSimple and IsClosed. In the above example, IsClosed is true, while IsSimple is false, when it seems it should be true.
select ST_IsSimple(ST_LineFromText('LINESTRING(0 0,0 10,10 10,0 0)'));
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+----------------------------------------------------------------+
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| ST_IsSimple(ST_LineFromText('LINESTRING(0 0,0 10,10 10,0 0)')) |
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+----------------------------------------------------------------+
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| 0 |
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+----------------------------------------------------------------+
|
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select ST_IscLOSED(ST_LineFromText('LINESTRING(0 0,0 10,10 10,0 0)'));
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+----------------------------------------------------------------+
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| ST_IscLOSED(ST_LineFromText('LINESTRING(0 0,0 10,10 10,0 0)')) |
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+----------------------------------------------------------------+
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| 1 |
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+----------------------------------------------------------------+
|
|