Akademik Veri Yönetim Sistemi
MISKOLC MATHEMATICAL NOTES, cilt.26, sa.2, ss.749-755, 2025 (SCI-Expanded, Scopus)
In this work, amply essential supplemented (briefly, amply e-supplemented) lattices are defined and some properties of these lattices are investigated. All lattices are complete modular lattices with the greatest element 1 and the smallest element 0 in this work. Let L be a lattice. If b/0 is essential supplemented for every b is an element of L, then L is amply essential supplemented. Let L be an amply e-supplemented lattice, b be a supplement of a in L and bLet L be an amply e-supplemented lattice, b be a supplement of a in L and b (sic) L. Then b/0 is amply e-supplemented. Here also x/0 is amply supplemented for every e-supplement element x in L. Let L. be a lattice. Then L is amply essential supplemented if and only if a boolean AND b has a supplement in b/0) for every a (sic) Land b is an element of L with 1-a boolean OR b. Let L be a lattice. If a boolean AND b lies above an e-supplement element in L. for every a,b is an element of L with a (sic) Land 1 = a boolean OR b, then L is amply e-supplemented.