modular law

Let MR be a left R-module with submodules A,B,C, and suppose CB. Then


This result shows that the submodules of MR, partially ordered by inclusion, form a modular latticeMathworldPlanetmath with as the meet and + as the join (

Title modular law
Canonical name ModularLaw
Date of creation 2013-03-22 12:50:42
Last modified on 2013-03-22 12:50:42
Owner yark (2760)
Last modified by yark (2760)
Numerical id 7
Author yark (2760)
Entry type Theorem
Classification msc 16D10
Related topic ModularLattice