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

Authors : Hugo Alberto RinconMejia, Jose Patricio SanchezHernandez

Pages : 92-106

Doi:10.24330/ieja.266206

View : 13 | Download : 10

Publication Date : 2015-12-01

Article Type : Research Paper

Abstract :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.
Keywords : Big lattices, uniform lattices, socle of a lattice, left local ring, semi artinian ring, max ring