• PSEUDO - COMPLEMENTED ALMOST SEMILATTICES

G. NANAJI RAO, S. SUJATHA KUMARI*

Abstract


The concept of pseudo-complementation  on an almost semilattice(ASL) with  is introduced and proved some elementery properties of the pseudo-complementation . Also, proved that pseudo-complementation on an ASL is equationally definable. A one-to-one correspondence between the pseudo-complementations on an ASL  with  and maximal elements of  is obtained. It is also proved that  is a Boolean algebra which is independent(up to isomorphism) of the pseudo-complementation  on .


Keywords


Almost Semilattice, Pseudo-complementation, Unimaximal element, Maximal element, Equationally definable class, Boolean algebra.

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