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On pseudo BE-algebras

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Borzooei R., Saeid A., Rezaei A., Radfar A., Ameri R.

Discussiones Mathematicae - General Algebra and Applications

2013

tom 33

nr 1

95-108

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.

Ograniczanie wyników

1 Discussiones Mathematicae - General Algebra and Applications

1 Ameri R.

1 Borzooei R.

1 Radfar A.

1 Rezaei A.

1 Saeid A.

1 2013

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On pseudo BE-algebras