THE THEORY OF DERIVATIONS IN ALMOST DISTRIBUTIVE  LATTICES

AYALEW, ESHETIE

dc.contributor.author	AYALEW, ESHETIE
dc.date.accessioned	2021-09-30T05:52:51Z
dc.date.available	2021-09-30T05:52:51Z
dc.date.issued	2021-09-30
dc.identifier.uri	http://ir.bdu.edu.et/handle/123456789/12673
dc.description.abstract	The Theory of Derivations in Almost Distributive Lattices is A function d : 𝐋 ⟶ 𝐋 is called a derivation on L, if 𝑑(𝑥 ∧ 𝑦) = (𝑑𝑥 ∧ 𝑦) ∨ (𝑥 ∧ 𝑑𝑦), 𝑓𝑜𝑟 𝑎𝑙𝑙 𝑥, 𝑦 ∈ 𝐿. A principal derivation is an ADL and 𝑎 ∈ 𝐿. Define a function 𝑑𝑎 on 𝐿 by 𝑑𝑎𝑥 = 𝑎 ∧ 𝑥 , for all 𝑥 ∈ 𝐿. Then, 𝑑𝑎 is a derivation on 𝐿.and . a derivation d on L is an isotone derivation, if 𝑑𝑎 ≤ 𝑑𝑏 for all 𝑎, 𝑏 ∈ 𝐿 with 𝑎 ≤ 𝑏. Keywords: Almost Distributive Lattices the fixed set of a derivation, isotone derivation	en_US
dc.language.iso	en	en_US
dc.subject	Mathematics	en_US
dc.title	THE THEORY OF DERIVATIONS IN ALMOST DISTRIBUTIVE LATTICES	en_US
dc.type	Thesis	en_US