A Project on Annihilator Ideals in Almost Distributive Lattices A Project Submitted to Department of Mathematics in Partial Fulfillment of  the Requirements for the Degree of “Master of Science in Mathematics”.

Melaku Belay

dc.contributor.author	Melaku Belay
dc.date.accessioned	2022-08-29T09:28:52Z
dc.date.available	2022-08-29T09:28:52Z
dc.date.issued	2022-08-23
dc.identifier.uri	http://ir.bdu.edu.et/handle/123456789/14053
dc.description.abstract	The concept of annihilator ideal is introduced in an almost distributive lattice with zero. It is observed that the set of all annihilator ideals of R forms a complete Boolean algebra, the sufficient condition for R to become a relatively complemented almost distributive lattice is derived. The concept of annihilator preserving homomorphism is introduced in R. A sufficient condition for a homomorphism to be annihilator preserving is derived. Finally, it is proved that the homomorphic images and the inverse images of an annihilator ideal are again annihilator ideals. Keywords: Almost Distributive Lattice, Boolean algebra, Annihilator ideal, relatively complemented Almost Distributive Lattice, annihilator preserving homomorphism.	en_US
dc.language.iso	en_US	en_US
dc.subject	Mathematics	en_US
dc.title	A Project on Annihilator Ideals in Almost Distributive Lattices A Project Submitted to Department of Mathematics in Partial Fulfillment of the Requirements for the Degree of “Master of Science in Mathematics”.	en_US
dc.type	Thesis	en_US