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8 papers · 1 filter
Implication in weakly and dually weakly orthomodular lattices
Ivan Chajda, Helmut Länger
Weakly orthomodular and dually weakly orthomodular lattices were introduced by the authors in a recent paper. Similarly as for orthomodular lattices we try to introduce an implicat…
Ideals of direct products of rings
Ivan Chajda, Günther Eigenthaler, Helmut Länger
It is known that an ideal of a direct product of commutative unitary rings is directly decomposable into ideals of the corresponding factors. We show that this does not hold in gen…
On the clone of aggregation functions on bounded lattices
Radomír Halaš, Jozef Pócs
The main aim of this paper is to study aggregation functions on lattices via clone theory approach. Observing that the aggregation functions on lattices just correspond to -mo…
On generating of idempotent aggregation functions on finite lattices
Michal Botur, Radomír Halaš, Radko Mesiar +1
In a recent paper we proposed the study of aggregation functions on lattices via clone theory approach. Observing that aggregation functions on lattices just correspond to -mo…
Riesz Decomposition Properties and the Lexicographic Product of po-groups
Anatolij Dvurečenskij
We establish conditions when a certain type of the Riesz Decomposition Property (RDP) holds in the lexicographic product of two po-groups. It is well known that the resulting produ…
Orthocomplete Pseudo MV-algebras
Anatolij Dvurečenskij, Omid Zahiri
Pseudo -algebras are a non-commutative generalization of -algebras. The main purpose of the paper is to introduce and investigate orthocomplete pseudo -algebras. We use…