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In this note, we point out that Theorem 3.1 as well as Theorem 3.5 in G. D. Çaylı and F. Karaçal (Kybernetika 53 (2017), 394-417) contains a superfluous condition. We have also generalized them by using closure (interior, resp.) operators.

Note on homomorphisms of direct products of algebras

Bedřich Pondělíček (1979)

Czechoslovak Mathematical Journal

Note on $α$ -filters in distributive nearlattices

Ismael Calomino (2019)

Mathematica Bohemica

In this short paper we introduce the notion of $α$ -filter in the class of distributive nearlattices and we prove that the $α$ -filters of a normal distributive nearlattice are strongly connected with the filters of the distributive nearlattice of the annihilators.

Note sur la théorie des ensembles

P. Tannery (1884)

Bulletin de la Société Mathématique de France

Note über den Operationskreis des Logikcalculs

Schröder (1877)

Mathematische Annalen

Notes on a class of tiling problems

Hao Wang (1975)

Fundamenta Mathematicae

Notes on congruence implication

Gábor Czédli (1991)

Archivum Mathematicum

Notes on exponential-logarithmic terms

Bernd Dahn, Peter Göring (1987)

Fundamenta Mathematicae

Notes on lattice congruences

Ivan Chajda (1978)

Časopis pro pěstování matematiky

Notes on locally internal uninorm on bounded lattices

Gül Deniz Çaylı, Ümit Ertuğrul, Tuncay Köroğlu, Funda Karaçal (2017)

Kybernetika

In the study, we introduce the definition of a locally internal uninorm on an arbitrary bounded lattice $L$ . We examine some properties of an idempotent and locally internal uninorm on an arbitrary bounded latice $L$ , and investigate relationship between these operators. Moreover, some illustrative examples are added to show the connection between idempotent and locally internal uninorm.

Notes on monadic $n$ -valued Łukasiewicz algebras

A. V. Figallo, Inés Pascual, Alicia Ziliani (2004)

Mathematica Bohemica

A topological duality for monadic $n$ -valued Łukasiewicz algebras introduced by M. Abad (Abad, M.: Estructuras cíclica y monádica de un álgebra de Łukasiewicz $n$ -valente. Notas de Lógica Matemática 36. Instituto de Matemática. Universidad Nacional del Sur, 1988) is determined. When restricted to the category of $Q$ -distributive lattices and $Q$ -homomorphims, it coincides with the duality obtained by R. Cignoli in 1991. A new characterization of congruences by means of certain closed and involutive subsets...

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Notational and Logical Completeness in three-Valued Logic

Note on a construction of unbounded measures on a nonseparable Hilbert space quantum logic

Note on a theorem of J. Baumgartner

Note on a theorem of Putnam's.

Note on compatible binary relations on algebras

Note on connections of the point of continuity property and Kuratowski problem on function having the Baire property

Note on "construction of uninorms on bounded lattices"