• KERNEL IDEALS AND -IDEALS IN PSEUDO-COMPLEMENTED ALMOST SEMILATTICES

G. NANAJI RAO, S. SUJATHA KUMARI*

Abstract


The concepts of kernel ideal, -ideal and -congruence are introduced and derive smallest -congruence with kernel ideal in -commutative Pseudo-complemented Almost Semilattice (-commutative PCASL) and the largest -congruence with kernel ideal in -commutative PCASL. Also, characterize the -congruence  on -commutative PCASL L defined by  if and only if in terms of largest -congruences.


Keywords


Almost Semilattice, ∗-commutative Pseudo-complemented Almost Semilattice (∗-commutative PCASL), Kernel ideal, ∗-ideal, Smallest ∗-congruence, Largest ∗-congruence.

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