On fuzzy subalgebras of BE-algebras

Afrika Matematika - Tập 22 - Trang 115-127 - 2011
A. Rezaei1, A. Borumand Saeid2
1Department of Mathematics, Payam Noor University (PNU), Kerman, Iran
2Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

Tóm tắt

In this paper the notion of fuzzy BE-algebras are introduced. We state and prove some theorems in fuzzy BE-algebras and level subalgebras. Some characterizations of fuzzy subalgebras of BE-algebras are given. Using fuzzy subalgebras, characterizations of Artinian and Noetherian BE-algebras are also established. Finally the notion of fuzzy topological BE-algebras is introduced. We state and prove the Foster’s results on homomorphic images and inverse images in fuzzy topological BE-algebras.

Tài liệu tham khảo

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