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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.

Products in almost f -algebras

Karim Boulabiar (2000)

Commentationes Mathematicae Universitatis Carolinae

Let A be a uniformly complete almost f -algebra and a natural number p ∈ { 3 , 4 , ⋯ } . Then Π p ( A ) = { a 1 ⋯ a p ; a k ∈ A , k = 1 , ⋯ , p } is a uniformly complete semiprime f -algebra under the ordering and multiplication inherited from A with Σ p ( A ) = { a p ; 0 ≤ a ∈ A } as positive cone.

Products of partially ordered quasigroups

Milan Demko (2008)

Commentationes Mathematicae Universitatis Carolinae

We describe necessary and sufficient conditions for a direct product and a lexicographic product of partially ordered quasigroups to be a positive quasigroup. Analogous questions for Riesz quasigroups are studied.

Projectability and weak homogeneity of pseudo effect algebras

Ján Jakubík (2009)

Czechoslovak Mathematical Journal

In this paper we deal with a pseudo effect algebra 𝒜 possessing a certain interpolation property. According to a result of Dvurečenskij and Vettterlein, 𝒜 can be represented as an interval of a unital partially ordered group G . We prove that 𝒜 is projectable (strongly projectable) if and only if G is projectable (strongly projectable). An analogous result concerning weak homogeneity of 𝒜 and of G is shown to be valid.

Currently displaying 21 – 40 of 48