@article{article_510435, title={Pure Elements and Dual Notions of Prime Elements in Lattice Modules}, journal={Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi}, volume={24}, pages={226–229}, year={2020}, DOI={10.19113/sdufenbed.510435}, author={Aslankarayiğit Uğurlu, Emel}, keywords={Çarpımsal latisler,Latis modüller,˙Ikinci elemanlar,Pür elemenlar}, abstract={<p>This paper deals with the pure elements and the dual notions of prime elements (that is, second elements). For this, it introduces the definitions of second element and coprime element. Then it is shown that the concepts of the second element and coprime element are equivalent. Moreover, this study gives us a characterization of comultiplication modules. Finally, it defines pure elements and obtains the relation among pure, idempotent and multiplication elements. <br /> </p>}, number={1}, publisher={Süleyman Demirel Üniversitesi}