Geodesic
Spectra of autometrized lattice algebras
Mathematica Bohemica, Tome 123 (1998) no. 1, pp. 87-94
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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.
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.
DOI : 10.21136/MB.1998.126293
Classification : 06D20, 06F05, 06F20
Keywords: autometrized algebra; dually residuated lattice ordered semigroup; prime ideal; spectrum; lattice-ordered algebras 
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Rachůnek, Jiří. Spectra of autometrized lattice algebras. Mathematica Bohemica, Tome 123 (1998) no. 1, pp. 87-94. doi: 10.21136/MB.1998.126293

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