⊕-supplemented lattices
Çiğdem Biçer, Celıl Nebıyev · Miskolc mathematical notes/Mathematical notes · 2019
In this work, ˚ supplemented and strongly ˚ supplemented lattices are defined and investigated some properties of these lattices.Let L be a lattice and 1 D a 1 ˚a2 ˚::: ˚an with a 1 ; a 2 ; :::; a n 2 L. If a i =0 is ˚ supplemented for each i D 1; 2; :::; n, then L is also ˚ supplemented.Let L be a distributive lattice and 1 D a 1 ˚a2 ˚::: ˚an with a 1 ; a 2 ; :::; a n 2 L. If a i =0 is strongly ˚ supplemented for each i D 1; 2; :::; n, then L is also strongly ˚ supplemented.A lattice L has .D1