IF-filters of pseudo-BL-algebras

Magdalena Wojciechowska-Rysiawa

Displaying similar documents to “IF-filters of pseudo-BL-algebras”

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. ...

Pseudo $B L$ -algebras and $D R ℓ$ -monoids

Jan Kühr (2003)

Mathematica Bohemica

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It is shown that pseudo $B L$ -algebras are categorically equivalent to certain bounded $D R ℓ$ -monoids. Using this result, we obtain some properties of pseudo $B L$ -algebras, in particular, we can characterize congruence kernels by means of normal filters. Further, we deal with representable pseudo $B L$ -algebras and, in conclusion, we prove that they form a variety.

On boundedly-convex functions on pseudo-topological vector spaces.

Averbuch, Vladimir (2000)

International Journal of Mathematics and Mathematical Sciences

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Pseudo-integral of differential equations of the n-th order

K. Orlov, M. Stojanović (1974)

Matematički Vesnik

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A class of spaces in which compactness and finiteness are equivalent

H. B. Potoczny (1984)

Matematički Vesnik

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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.

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.

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-bci ideals of pseudo-bci algebras

Young Bae Jun, Hee Sik Kim, J. Neggers (2006)

Matematički Vesnik

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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.

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.