Displaying similar documents to “On pseudo BE-algebras”

On pseudo-BCI-algebras

Grzegorz Dymek (2015)

Annales UMCS, Mathematica

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The notion of normal pseudo-BCI-algebras is studied and some characterizations of it are given. Extensions of pseudo-BCI-algebras are also considered.

IF-filters of pseudo-BL-algebras

Magdalena Wojciechowska-Rysiawa (2015)

Discussiones Mathematicae - General Algebra and Applications

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Characterizations of IF-filters of a pseudo-BL-algebra are established. Some related properties are investigated. The notation of prime IF- filters and a characterization of a pseudo-BL-chain are given. Homomorphisms of IF-filters and direct product of IF-filters are studied.

Some results on pseudo-Q algebras

Akbar Rezaei, Arsham Borumand Saeid, Andrzej Walendziak (2017)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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The notions of a dual pseudo-Q algebra and a dual pseudo-QC algebra are introduced. The properties and characterizations of them are investigated. Conditions for a dual pseudo-Q algebra to be a dual pseudo-QC algebra are given. Commutative dual pseudo-QC algebras are considered. The interrelationships between dual pseudo-Q/QC algebras and other pseudo algebras are visualized in a diagram.

On a period of elements of pseudo-BCI-algebras

Grzegorz Dymek (2015)

Discussiones Mathematicae - General Algebra and Applications

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The notions of a period of an element of a pseudo-BCI-algebra and a periodic pseudo-BCI-algebra are defined. Some of their properties and characterizations are given.

On pseudo-BCI-algebras

Grzegorz Dymek (2015)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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The notion of normal pseudo-BCI-algebras is studied and some characterizations of it are given. Extensions of pseudo-BCI-algebras are also considered.

Pseudo-BCH-algebras

Andrzej Walendziak (2015)

Discussiones Mathematicae - General Algebra and Applications

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The notion of pseudo-BCH-algebras is introduced, and some of their properties are investigated. Conditions for a pseudo-BCH-algebra to be a pseudo-BCI-algebra are given. Ideals and minimal elements in pseudo-BCH-algebras are considered.

On subspaces of pseudo-radial spaces

Jin Yuan Zhou (1993)

Commentationes Mathematicae Universitatis Carolinae

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It is proved that, under the Martin’s Axiom, every T 1 -space with countable tightness is a subspace of some pseudo-radial space. We also give several characterizations of subspaces of pseudo-radial spaces and conclude that being a subspace of a pseudo-radial space is a local property.

On a periodic part of pseudo-BCI-algebras

Grzegorz Dymek (2015)

Discussiones Mathematicae - General Algebra and Applications

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In the paper the connections between the set of some maximal elements of a pseudo-BCI-algebra and deductive systems are established. Using these facts, a periodic part of a pseudo-BCI-algebra is studied.