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On a period of elements of pseudo-BCI-algebras

Grzegorz Dymek (2015)

Discussiones Mathematicae - General Algebra and Applications

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 a periodic part of pseudo-BCI-algebras

Grzegorz Dymek (2015)

Discussiones Mathematicae - General Algebra and Applications

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.

On BE-semigroups.

Ahn, Sun Shin, Kim, Young Hee (2011)

International Journal of Mathematics and Mathematical Sciences

On fuzzy B -algebras

Young Bae Jun, Eun Hwan Roh, Hee Sik Kim (2002)

Czechoslovak Mathematical Journal

The fuzzification of (normal) B -subalgebras is considered, and some related properties are investigated. A characterization of a fuzzy B -algebra is given.

On fuzzy topological subalgebras of BCC-algebras

Wiesław A. Dudek, Young Bae, Sung Min Hong (2000)

Discussiones Mathematicae - General Algebra and Applications

We describe properties of subalgebras and BCC-ideals in BCC-algebras with a topology induced by a family of fuzzy sets.

On hyper BCC-algebras.

Borzooei, R.A., Dudek, W.A., Koohestani, N. (2006)

International Journal of Mathematics and Mathematical Sciences

On ideals and congruences in BCC-algebras

Wiesław Aleksander Dudek, Xiaohong Zhang (1998)

Czechoslovak Mathematical Journal

We introduce a new concept of ideals in BCC-algebras and describe connections between such ideals and congruences.

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