Chajda, Ivan A characterization of commutative basic algebras. (English) Zbl 1212.06026 Math. Bohem. 134, No. 2, 113-120 (2009). Summary: A basic algebra is an algebra of the same type as an MV-algebra and it is in a one-to-one correspondence to a bounded lattice having antitone involutions on its principal filters. We present a simple criterion for checking whether a basic algebra is commutative or even an MV-algebra. Cited in 1 Document MSC: 06D35 MV-algebras 03G10 Logical aspects of lattices and related structures Keywords:lattice with section antitone involution; basic algebra; MV-algebra PDF BibTeX XML Cite \textit{I. Chajda}, Math. Bohem. 134, No. 2, 113--120 (2009; Zbl 1212.06026) Full Text: EuDML EMIS OpenURL