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In this work we consider some big lattices of classes of modules defined by closure properties such as being closed under taking submodules, quotients, injective hulls, projective covers, products and directs sums. We obtain some results and characterizations of rings when we assume that those big lattices of classes of modules are atomic or uniform. Mathematics Subject Classification (2010): 16D80, 16S99, 06B75, 06D15, 06F99

ON UNIFORMITY IN LATTICES OF CLASSES OF MODULES DEFINED BY CLOSURE PROPERTIES