Spectra of abelian wekly associative lattice groups
Jiří Rachůnek
Discussiones Mathematicae - General Algebra and Applications, Tome 20 (2000), p. 51-61 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:287715
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1005,
     author = {Ji\v r\'\i\ Rach\r unek},
     title = {Spectra of abelian wekly associative lattice groups},
     journal = {Discussiones Mathematicae - General Algebra and Applications},
     volume = {20},
     year = {2000},
     pages = {51-61},
     zbl = {0963.06016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1005}
}
Jiří Rachůnek. Spectra of abelian wekly associative lattice groups. Discussiones Mathematicae - General Algebra and Applications, Tome 20 (2000) pp. 51-61. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1005/

[000] [1] M. R. Darnel, Theory of Lattice-Ordered Groups, Marcel Dekker, Inc., New York-Basel-Hong Kong 1995. | Zbl 0810.06016

[001] [2] E. Fried, Tournaments and non-associative lattices, Ann. Univ. Sci. Budapest, Sect. Math. 13 (1970), 151-164. | Zbl 0224.06004

[002] [3] E. Fried, A generalization of ordered algebraic systems, Acta Sci. Math. (Szeged) 31 (1970), 233-244. | Zbl 0226.06005

[003] [4] A.M.W. Glass and W.Ch. Holland (Eds.), Lattice-Ordered Groups (Advances and Techniques), Kluwer Acad. Publ., Dordrecht-Boston-London 1989. | Zbl 0705.06001

[004] [5] V.M. Kopytov and N.Ya. Medvedev, The Theory of Lattice Ordered Groups, Kluwer Acad. Publ., Dordrecht 1994. | Zbl 0834.06015

[005] [6] J. Rachůnek, Structure spaces of lattice ordered groups, Czechoslovak Math. J. 39 (114) (1989), 686-691. | Zbl 0703.06010

[006] [7] J. Rachůnek, Solid subgroups of weakly associative lattice groups, Acta Univ. Palack. Olom., Fac. Rer. Nat., no. 105, Math. 31 (1992), 13-24. | Zbl 0776.06016

[007] [8] J. Rachůnek, On some varieties of weakly associative lattice groups, Czechoslovak Math. J. 46 (121) (1996), 231-240. | Zbl 0870.06016

[008] [9] H. Skala, Trellis theory, Algebra Universalis 1 (1971), 218-233. | Zbl 0242.06003

[009] [10] H. Skala, Trellis Theory, Memoirs Amer. Math. Soc., no. 121, Providence 1972. | Zbl 0242.06004