Displaying similar documents to “Fundamental central dispersions in a double system 〈 〈 𝔊 〉 〉 ”

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 pseudo BE-algebras

Rajab Ali Borzooei, Arsham Borumand Saeid, Akbar Rezaei, Akefe Radfar, Reza Ameri (2013)

Discussiones Mathematicae - General Algebra and Applications

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In this paper, we introduce the notion of pseudo BE-algebra which is a generalization of BE-algebra. We define the concepts of pseudo subalgebras and pseudo filters and prove that, under some conditions, pseudo subalgebra can be a pseudo filter. We prove that every homomorphic image and pre-image of a pseudo filter is also a pseudo filter. Furthermore, the notion of pseudo upper sets in pseudo BE-algebras introduced and is proved that every pseudo filter is an union of pseudo upper sets. ...

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.