On CFI-algebras

XU Luo-shan · Journal of Yangzhou University · 2007

The purpose of this paper is to study the character of commutative FIalgebras(CFI-algebras,in short) systematically.Some new properties of (regular) FI-algebras and CFI-algebras are obtained.Some relations among CFI-algebras and HFI-algebras lattice implication algebras and R0algebras,as well as other logic-linked algebras are drawn.A sufficient and necessary condition for CFI-algebras to be regular HFI-algebras is given.

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