id: 02368976
dt: j
an: 2006f.03782
au: Kumar, Rajesh
ti: On lattice theoretic characterisation of maximal $α$ - recursive sets.
so: Math. Educ. 39, No. 3, 193-195 (2005).
py: 2005
pu: Kumar Pankaj, Siwan, Bihar, India; I.M. Prasad, Siwan, Bihar, India
la: EN
cc: H50 E60
ut: admissible ordinal; alpha-recursive set; maximal set; quotient lattice;
congruence relations
ci:
li:
ab: Our main aim here is to obtain a necessary and sufficient condition for the
existence of maximal $α$-recursive enumerable sets. G. Kreisel derived
some results related to generalisations of recursion theory. We develop
here a Lattice theoretic approach in view of specific properties of
maximal sets in terms of quotient Lattice $Σ(α)$.
rv: