Generalized Extending Ideals in Modular Lattices
Keywords:
Extending Ideal, I-Jective Ideal and Generalized Extending Ideals.Abstract
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.Downloads
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Copyright (c) 2015 S. K. Nimbhorkar, Rupal C. Shroff
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