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\input zb-matheduc
\iteman{ZMATH 2006f.03782}
\itemau{Kumar, Rajesh}
\itemti{On lattice theoretic characterisation of maximal $\alpha$ - recursive sets.}
\itemso{Math. Educ. 39, No. 3, 193-195 (2005).}
\itemab
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 $\Sigma{}(\alpha{})$.
\itemrv{~}
\itemcc{H50 E60}
\itemut{admissible ordinal; alpha-recursive set; maximal set; quotient lattice; congruence relations}
\itemli{}
\end