A PROJECT ON : CONGRUENCE AND IDEALS IN A DISTRIBUTIVE LATTICE WITH ITS DERIVATIONS

Melkamu, Retta

dc.contributor.author	Melkamu, Retta
dc.date.accessioned	2020-09-08T06:42:53Z
dc.date.available	2020-09-08T06:42:53Z
dc.date.issued	2020-09-07
dc.identifier.uri	http://hdl.handle.net/123456789/11182
dc.description.abstract	We observe that two types of congruence are introduced in a distributive lattice, one in terms of ideals generated by derivations and the other in terms of images of derivations. Also we undertake an equivalent condition is derived for the corresponding quotient algebra to become a Boolean algebra. An equivalent condition is obtained for the existence of a derivation. We grasp that the set of all isotone derivations in a distributive lattice can form a distributive lattice. Moreover, we identify the ﬁxed set of derivations in lattices and prove that the ﬁxed set of a derivation is an ideal in lattices. Keywords: Derivation, kernel, congruence, ideal, kernel element	en_US
dc.language.iso	en_US	en_US
dc.subject	MATHEMATICS	en_US
dc.title	A PROJECT ON : CONGRUENCE AND IDEALS IN A DISTRIBUTIVE LATTICE WITH ITS DERIVATIONS	en_US
dc.type	Thesis	en_US