Generalized Extending Ideals in Modular Lattices
Shriram Khanderao Nimbhorkar, Rupal C. Shroff · Journal of the Indian Mathematical Society · 2015
The concept of an extending ideal and that of I -jectivity for an ideal in a lattice is introduced. It is shown that in a modular lattice, the direct sum of extending ideals is extending if and only if the ideals are relatively jective. We also define a generalized extending ideal in a lattice and obtain some properties and characterizations of such ideals in a modular lattice.