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Polars in autometrized algebras. (English) Zbl 0705.06010
Autometrized algebras are generalizations of \(\ell\)-groups and Brouwerian algebras. In this paper, properties of polars in connection with ideals and prime ideals are discussed.
Reviewer: M.Abad

MSC:
06F05 Ordered semigroups and monoids
06F25 Ordered rings, algebras, modules
06B10 Lattice ideals, congruence relations
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References:
[1] A. Bigard K. Keimel S. Wolfenstein: Groupes et Anneaux Réticulés. Berlin-Heidelberg-New York, 1977.
[2] J. Rachůnek: Prime ideals in autometrized algebras. Czech. Math. J., 37 (112) 1987, 65-69. · Zbl 0692.06007
[3] K. L. N. Swamy: A general theory of autometrized algebras. Math. Ann. 157 (1964), 65-74. · Zbl 0135.02602
[4] K. L. N. Swamy N. P. Rao: Ideals in autometrized algebras. J. Austral. Math. Soc. 24 (1977) (Ser. A), 362-374. · Zbl 0427.06006
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