  In our previous papers, together with J. Paseka we introduced so-called
sectionally pseudocomplemented lattices and posets and illuminated their role
in algebraic constructions. We believe that - similar to relatively
pseudocomplemented lattices - these structures can serve as an algebraic
semantics of certain intuitionistic logics. The aim of the present paper is to
define congruences and filters in these structures, derive mutual relationships
between them and describe basic properties of congruences in strongly
sectionally pseudocomplemented posets. For the description of filters both in
sectionally pseudocomplemented lattices and posets, we use the tools introduced
by A. Ursini, i.e. ideal terms and the closedness with respect to them. It
seems to be of some interest that a similar machinery can be applied also for
strongly sectionally pseudocomplemented posets in spite of the fact that the
corresponding ideal terms are not everywhere defined.
