Normal Ideals in Generalized Almost Distributive Lattices

G.C. Rao, Ravi Kumar Bandaru, N. Rafi

Abstract


In this paper, we introduced the concept of an annihilator preserving homomorphism from a GADL L into a GADL L′ and studied some basic properties of these homomorphisms. We derived a sufficient condition for a homomorphism to be annihilator preserving homomorphism. We introduced the concept of a normal ideal in a GADL L and proved that the set N(L) of all normal ideals of L forms a Boolean algebra.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|