O-homomorphisms of Almost Distributive Lattices

CJM Vol. 4 (December 2012), pp. 13 – 21.


The concept of O-homomorphisms is introduced in an Almost Dis-tributive Lattice (ADL). A sufficient condition for a homomorphism to become an O-homomorphism is derived. Finally, it is proved that the image and the inverse image of an O-ideal of an ADL under an O-homomorphism are again O-ideals.

2000 Mathematics Subject Classification: 

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