Discussiones
Mathematicae General Algebra and Applications 20(1) (2000) 51-61
DOI: https://doi.org/10.7151/dmgaa.1005
SPECTRA OF ABELIAN WEAKLY ASSOCIATIVE LATTICE GROUPS
Jirí Rachůnek
Department of Algebra and Geometry, Palacký
University
Tomkova 40, 779 00 Olomouc, Czech Republic
e-mail: Rachunek@risc.upol.cz
Abstract
The notion of a weakly associative lattice group is a generalization of that of a lattice ordered group in which the identities of associativity of the lattice operations join and meet are replaced by the identities of weak associativity. In the paper, the spectral topologies on the sets of straightening ideals (and on some of their subsets) of abelian weakly associative lattice groups are introduced and studied.
Keywords: weakly associative lattice group, prime ideal, straightening ideal, spectral topology, spectrum
1991 Mathematics Subject Classification: 06F15.
References
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Received 21 May 1998
Revised 8 June 1999
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