2 problems
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Exceptional coordinatizable MOLs without orthogonal large partial frames
Exceptional-frame conjecture. There are subdirectly irreducible coordinatizable MOLs of height at least not containing an orthogonal large partial -frame.
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Orthogonal large partial-frame analogue of Jónsson's results for MOLs
Orthogonal-frame conjecture. The analogues of Jónsson's results hold for MOLs with orthogonal large partial -frames.