Multiplication lattice modules

Document Type : Regular Paper


1 Department of Mathematics, Dogus University, Acıbadem, Istanbul, Turkey

2 Department of Mathematics, Marmara University, Ziverbey-Goztepe, Istanbul, Turkey


Let M be a lattice module over the multiplicative lattice 􀜮. An 􀜮 􀵆module M is called a multiplication lattice
module if for every element N 􀗐 􀜯 there exists an element 􀜽 􀗐 􀜮 such that 􀜰 􀵌 􀜽1􀯆. Our objective is to
investigate properties of prime elements of multiplication lattice modules.