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Primary elements in Prüfer lattices

C. Jayaram (2002)

Czechoslovak Mathematical Journal

In this paper we study primary elements in Prüfer lattices and characterize α -lattices in terms of Prüfer lattices. Next we study weak ZPI-lattices and characterize almost principal element lattices and principal element lattices in terms of ZPI-lattices.

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

Emel Aslankarayigit Ugurlu, Fethi Callialp, Unsal Tekir (2016)

Open Mathematics

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.

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