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Finitely generated almost universal varieties of 0 -lattices

Václav Koubek, Jiří Sichler (2005)

Commentationes Mathematicae Universitatis Carolinae

A concrete category 𝕂 is (algebraically) universal if any category of algebras has a full embedding into 𝕂 , and 𝕂 is almost universal if there is a class 𝒞 of 𝕂 -objects such that all non-constant homomorphisms between them form a universal category. The main result of this paper fully characterizes the finitely generated varieties of 0 -lattices which are almost universal.

Finitely valued f -modules, an addendum

Stuart A. Steinberg (2001)

Czechoslovak Mathematical Journal

In an ℓ -group M with an appropriate operator set Ω it is shown that the Ω -value set Γ Ω ( M ) can be embedded in the value set Γ ( M ) . This embedding is an isomorphism if and only if each convex ℓ -subgroup is an Ω -subgroup. If Γ ( M ) has a.c.c. and M is either representable or finitely valued, then the two value sets are identical. More generally, these results hold for two related operator sets Ω 1 and Ω 2 and the corresponding Ω -value sets Γ Ω 1 ( M ) and Γ Ω 2 ( M ) . If R is a unital ℓ -ring, then each unital ℓ -module over R is an f -module...

Fixed point results on a metric space endowed with a finite number of graphs and applications

Hajer Argoubi, Bessem Samet, Mihai Turinici (2014)

Czechoslovak Mathematical Journal

In this paper, we consider self-mappings defined on a metric space endowed with a finite number of graphs. Under certain conditions imposed on the graphs, we establish a new fixed point theorem for such mappings. The obtained result extends, generalizes and improves many existing contributions in the literature including standard fixed point theorems, fixed point theorems on a metric space endowed with a partial order and fixed point theorems for cyclic mappings.

Fixed points of fuzzy monotone maps

Ismat Beg (1999)

Archivum Mathematicum

The existence of fixed points for monotone maps on the fuzzy ordered sets under suitable conditions is proved.

Fixed points theorems of non-expanding fuzzy multifunctions

Abdelkader Stouti (2005)

Archivum Mathematicum

We prove the existence of a fixed point of non-expanding fuzzy multifunctions in α -fuzzy preordered sets. Furthermore, we establish the existence of least and minimal fixed points of non-expanding fuzzy multifunctions in α -fuzzy ordered sets.

Fixed points with respect to the L-slice homomorphism σ a

K.S. Sabna, N.R. Mangalambal (2019)

Archivum Mathematicum

Given a locale L and a join semilattice J with bottom element 0 J , a new concept ( σ , J ) called L -slice is defined,where σ is as an action of the locale L on the join semilattice J . The L -slice ( σ , J ) adopts topological properties of the locale L through the action σ . It is shown that for each a ∈ L , σ a is an interior operator on ( σ , J ) .The collection M = { σ a ; a ∈ L } is a Priestly space and a subslice of L - Hom ( J , J ) . If the locale L is spatial we establish an isomorphism between the L -slices ( σ , L ) and ( δ , M ) . We have shown that the fixed set of σ a ,...

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