discipline 
Pure
Mathematics

subject 
Lattice Theory

lecturers 
Péter Pál Pálfy, Csaba Szabó 
credits 
2 
period 

curriculum 
Partition lattices, every
lattice can be embedded into a partition lattice. Free lattices, Whitman’s
Condition, canonical form of the elements, the atoms of free lattices, free
lattices are semidistributive, the operations are
continuous. There exists a fixed point free monotone map. Closure systems.
Complete algebraic and geometric lattices. Modular lattices. The free modular
lattice generated by 3 elements. JordanDedekind
chain condition. Semimodular lattices. Distributive
lattices. Lattices and geometry: subspace lattices of projective geometries. Arguesian Law, geomodular
lattices. Coordinatization. Congruences
of lattices. Lattice varieties. Jónsson’s Lemma. Complemented Lattices. The congruences of relatively complemented lattices. Subalgebralattices. Congruence
lattices. The GrätzerSchmidt theorem. 
literature 

form of tuition 
Lecture 
mode of assessment 
written/oral
exam 