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0168-0072/95/$09.50 JJ 1995 --Elsevier Science B.V. All rights reserved SSDI 0168.0072(93)E0084-2 ' See  for the classical approach to this question. * There is a general theorem by Lawvere of existence of left adjoints for algebraic functors which applies to our case. One may also directly use some adjoint functor theorem (see ). 3 This will be our trend for the rest of the paper: we give full details of the general theory and of its applications to the basic example of modal algebras,doi:10.1016/0168-0072(93)e0084-2 fatcat:cdebx4wvybdu7psf5fzct5kcoy