# Definition of finite direct decomposition of elements and indecomposable elements at arbitrary lattice

How can i define finite direct decomposition of elements and indecomposable elements at arbitrary lattice .

I think i can say an element of lattice is finite direct decomposition of elements if it be written as a maximal of some finite elements .For example if we look at lattice of sets i can say a set is finite direct composition of elements if it can be written as a union of finite set . Am i right ? i search on google but i can find nothing any comment or link will be helpful Thanks.

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