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

G. NANAJI RAO; S. SUJATHA KUMARI*

• 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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