MATHEMATICA BOHEMICA, Vol. 123, No. 1, pp. 87-94 (1998)

Spectra of autometrized lattice algebras

Jiri Rachunek

Jiri Rachunek, Department of Algebra and Geometry, Faculty of Sciences, Palacky University, Tomkova 40, 779 00 Olomouc, Czech Republic, e-mail: rachunek@risc.upol.cz

Abstract: Autometrized algebras are a common generalization e.g. of commutative lattice ordered groups and Brouwerian algebras. In the paper, spectra of normal autometrized lattice ordered algebras (i.e. topologies of sets (and subsets) of their proper prime ideals) are studied. Especially, the representable dually residuated lattice ordered semigroups are examined.

Keywords: autometrized algebra, dually residuated lattice ordered semigroup, prime ideal, spectrum

Classification (MSC2000): 06F05, 06F20, 06D20

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