Displaying similar documents to “A comparison between the closed modular ideals in l...(w) and L...(w).”

Some types of implicative ideals

Ladislav Beran (1998)

Commentationes Mathematicae Universitatis Carolinae

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This paper studies basic properties for five special types of implicative ideals (modular, pentagonal, even, rectangular and medial). The results are used to prove characterizations of modularity and distributivity.

Ojective ideals in modular lattices

Shriram K. Nimbhorkar, Rupal C. Shroff (2015)

Czechoslovak Mathematical Journal

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The concept of an extending ideal in a modular lattice is introduced. A translation of module-theoretical concept of ojectivity (i.e. generalized relative injectivity) in the context of the lattice of ideals of a modular lattice is introduced. In a modular lattice satisfying a certain condition, a characterization is given for direct summands of an extending ideal to be mutually ojective. We define exchangeable decomposition and internal exchange property of an ideal in a modular lattice....