About the finiteness of monoids generated by closures and interiors.
E. Garel, J.P. Olivier (1993)
Semigroup forum
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E. Garel, J.P. Olivier (1993)
Semigroup forum
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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.
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.
T.H. Choe, S.S. Hong (1984)
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U. Knauer, P. Normak (1990)
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H. Straubing (1980)
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A.V. Mikhalev, U. Knauer (1974)
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C.P. Rupert (1990)
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U. Knauer, A. Mikhalev (1980)
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L. Skornjakov (1982)
Banach Center Publications
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P. Dehornoy (1986-1987)
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P. Normak (1992)
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