
02368976
j
2006f.03782
Kumar, Rajesh
On lattice theoretic characterisation of maximal $\alpha$  recursive sets.
Math. Educ. 39, No. 3, 193195 (2005).
2005
Kumar Pankaj, Siwan, Bihar, India; I.M. Prasad, Siwan, Bihar, India
EN
H50
E60
admissible ordinal
alpharecursive set
maximal set
quotient lattice
congruence relations
Our main aim here is to obtain a necessary and sufficient condition for the existence of maximal $\alpha{}$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 $\Sigma{}(\alpha{})$.