CHARACTERIZATION OF CONGRUENCE KERNEL IDEALS IN SECTIONALLY PSEUDO COMPLEMENTED SEMILATTICES

Authors : Rama KUMAR, Venkateswara RAO

Pages : 1039-1043

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Publication Date : 2014-04-04

Article Type : Other Papers

Abstract :This manuscript illustrates several principal results concerning congruence kernels of pseudo complemented semilattices will also hold in sectionally pseudo complemented semi lattices. Also it presents necessary and sufficient conditions such that any subset of sectionally pseudo complemented semi lattice which satisfies these conditions is kernel of some congruence. And it institutes the notion of * ideal in sectionally pseudo complemented semilattice and demonstrates that every kernel ideal is a * ideal. As well it establishes a condition for smallest * congruence of sectionally pseudo complemented semilattice with kernel ideal.  
Keywords : Semi lattice, Pseudo complemented semi lattice, congruence kernel, congruence, ideal