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Volume 32 • Number 3 • 2009
• Fuzzy Subcoalgebras and Duality
Wenjuan Chen
Abstract. In this paper, we apply the concepts of fuzzy subsets to coalgebras and define fuzzy subcoalgebras and fuzzy left (right) coideals. Considering the applications of fuzzy subcoalgebras and fuzzy left (right) coideals, we discuss their properties under homomorphisms of coalgebras and the relationship among them. A fuzzy subcoalgebra and its duality as well as a fuzzy subalgebra and its duality is also discussed.

2000 Mathematics Subject Classification: 08A72, 55U30.

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