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On CFI-algebras. (Chinese. English summary) Zbl 1164.03358

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.

MSC:

03G25 Other algebras related to logic
03G10 Logical aspects of lattices and related structures
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