Document Type: Regular Paper
Department of Mathematics, Beykent University, Ayazaga-Maslak, 34396, Istanbul, Turkey
Department of Mathematics, Marmara University, Ziverbey, P.K.34722, Göztepe, Istanbul, Turkey
Department of Mathematics, Gebze Institute of Technology, P.K.141 41400 Gebze-Kocaeli, Turkey
Let 𝑀 be a lattice module over the multiplicative lattice 𝐿. 𝑀 is said to be a comultiplication 𝐿-module if for every element 𝑁 of 𝑀 there exists an element 𝑎∈𝐿such that 𝑁(0𝑀:𝑀𝑎. Our objective is to investigate properties of comultiplication lattice modules.