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.
@article{bwmeta1.element.doi-10_1515_math-2016-0062, author = {Emel Aslankarayigit Ugurlu and Fethi Callialp and Unsal Tekir}, title = {Prime, weakly prime and almost prime elements in multiplication lattice modules}, journal = {Open Mathematics}, volume = {14}, year = {2016}, pages = {673-680}, zbl = {1346.06011}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0062} }
Emel Aslankarayigit Ugurlu; Fethi Callialp; Unsal Tekir. Prime, weakly prime and almost prime elements in multiplication lattice modules. Open Mathematics, Tome 14 (2016) pp. 673-680. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0062/