Title of article :
Pure Goldie Dimensions for Exactly Definable Categories
Author/Authors :
Berktaş ، Mustafa Kemal Uşak University
Abstract :
It is shown that if A is an object in an exactly definable category C such that A has finite pure Goldie dimension and that every pure monomorphism A → A is an isomorphism, then its endomorphism ring EndC(A) is semilocal. Also, it is proved that every subobject of a pure quotient finite dimensional pure injective object of an exactly definable category has a semilocal endomorphism ring.
Keywords :
Pure Goldie dimension , Pure copresented object , Pure injective envelope
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society