Полугруппы направленных преобразований упорядоченных множеств
Е.С. Ляпин (1967)
Matematiceskij sbornik
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Е.С. Ляпин (1967)
Matematiceskij sbornik
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Hans Dobbertin (1984)
Mathematische Zeitschrift
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Hans Dobbertin (1983)
Mathematische Annalen
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Jan Kühr (2003)
Discussiones Mathematicae - General Algebra and Applications
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Dually residuated lattice-ordered monoids (DRl-monoids) generalize lattice-ordered groups and include also some algebras related to fuzzy logic (e.g. GMV-algebras and pseudo BL-algebras). In the paper, we give some necessary and sufficient conditions for a DRl-monoid to be representable (i.e. a subdirect product of totally ordered DRl-monoids) and we prove that the class of representable DRl-monoids is a variety.
Jiří Rachůnek, Dana Šalounová (2004)
Discussiones Mathematicae - General Algebra and Applications
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The class of dually residuated lattice ordered monoids (DRl-monoids) contains, in an appropriate signature, all l-groups, Brouwerian algebras, MV- and GMV-algebras, BL- and pseudo BL-algebras, etc. In the paper we study direct products and decompositions of DRl-monoids in general and we characterize ideals of DRl-monoids which are direct factors. The results are then applicable to all above mentioned special classes of DRl-monoids.
Friedrich Wehrung (1993)
Forum mathematicum
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S. Margolis, J.E. Pin (1984)
Semigroup forum
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P. Normak (1992)
Semigroup forum
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А.Е. Андреев (1986)
Matematiceskij sbornik
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A.V. Mikhalev, U. Knauer (1974)
Semigroup forum
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М.М. Заричный (1991)
Matematiceskij sbornik
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C.P. Rupert (1990)
Semigroup forum
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L. Skornjakov (1982)
Banach Center Publications
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В.Б. Лендер (1974)
Matematiceskij sbornik
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В.Г. Кановей (1985)
Matematiceskij sbornik
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