Prime, weakly prime and almost prime elements in multiplication lattice modules

In this paper, we study multiplication lattice modules. We establish a new multiplication over elements of a multiplication lattice module.With this multiplication, we characterize idempotent element, prime element, weakly prime element and almost prime element in multiplication lattice modules.

Bibliographic Details
Main Authors: Ugurlu Emel Aslankarayigit, Callialp Fethi, Tekir Unsal
Format: Article
Language:English
Published: De Gruyter 2016-01-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2016-0062