Liu, Chunhui; Wu, Hongxia; Xu, Luoshan On CFI-algebras. (Chinese. English summary) Zbl 1164.03358 J. Yangzhou Univ., Nat. Sci. Ed. 10, No. 4, 1-4, 8 (2007). Summary: The purpose of this paper is to study the character of commutative FI-algebras (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 and lattice implication algebras and \(R_0\)-algebras, as well as other logic-linked algebras, are drawn. A sufficient and necessary condition for CFI-algebras to be regular HFI-algebras is given. Cited in 1 Document MSC: 03G25 Other algebras related to logic 03G10 Logical aspects of lattices and related structures Keywords:FI-algebra; CFI-algebra; HFI-algebra; residuated lattice; lattice implication algebra PDFBibTeX XMLCite \textit{C. Liu} et al., J. Yangzhou Univ., Nat. Sci. Ed. 10, No. 4, 1--4, 8 (2007; Zbl 1164.03358)