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Subjects
06-XX Order, lattices, ordered algebraic structures
06Fxx Ordered structures
06F10 Noether lattices

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Displaying 1 – 4 of 4

$p$ -systems in local Noether lattices.

Johnson, E.W., Johnson, Johnny A., Taylor, Monty B. (1994)

International Journal of Mathematics and Mathematical Sciences

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.

Principal element lattices

D. D. Anderson, C. Jayaram (1996)