In this note we introduce pure closed subobjects, strongly pure closed subobjects and pure quotient Goldie dimension in finitely accessible additive categories. Then we give a generalization of a classical dimension formula with respect to their pure closed subobjects. We prove that in this category every strongly pure closed subobject of a pure quotient finite dimensional object of every class of objects closed under direct limits and pure epimorphic images has a semilocal endomorphism ring.

closed submodule, pure closed subobject, pure Goldie dimension, pure quotient Goldie dimension.