
Summary: Let \(L\) be a lattice with the greatest element \(1\). Following the concept of generalized small subfilter, we define \(g\)-supplemented filters and investigate the basic properties and possible structures of these filters.
semisimple filter, filter, Complemented lattices, orthocomplemented lattices and posets, Modular lattices, Desarguesian lattices, \(w\)-supplemented filter, $g$-small, Structure theory of lattices, \(g\)-supplemented lattice, QA1-939, $g$-supplemented, \(g\)-small lattice, Mathematics, lattice
semisimple filter, filter, Complemented lattices, orthocomplemented lattices and posets, Modular lattices, Desarguesian lattices, \(w\)-supplemented filter, $g$-small, Structure theory of lattices, \(g\)-supplemented lattice, QA1-939, $g$-supplemented, \(g\)-small lattice, Mathematics, lattice
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