CHARACTERIZATION OF CONGRUENCE KERNEL IDEALS IN SECTIONALLY PSEUDO COMPLEMENTED SEMILATTICES

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

References

1. Agliano, P; Ursini, A; on subtractive vertices III: From ideals to congruence, Algebra Universalis.37(1997), 296- 333.
2. Chajda, I, Langer H: Ideals in Locally regular and permutable at O varieties, contributions to General Algebra. [3] E. S. R. Ravi Kumar, J. Venkateswara Rao; Weakly