Inversion in a class of lattice-ordered algebras
Anthony W. Hager, Philip Nanzetta, Donald Plank (1972)
Colloquium Mathematicae
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Displaying similar documents to “Lattice-ordered algebras with polynomial inequalities.”
Inversion in a class of lattice-ordered algebras
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We consider algebras determined by all normal identities of basic algebras. For such algebras, we present a representation based on a q-lattice, i.e., the normalization of a lattice.
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In this study, a term operation Sheffer stroke is presented in a given basic algebra 𝒜 and the properties of the Sheffer stroke reduct of 𝒜 are examined. In addition, we qualify such Sheffer stroke basic algebras. Finally, we construct a bridge between Sheffer stroke basic algebras and Boolean algebras.
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