Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: DRl-monoid

Sortuj według:

Ogranicz wyniki do:

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

Direct decompositions of dually residuated lattice-ordered monoids

100%

Rachůnek J., Šalounová D.

Discussiones Mathematicae - General Algebra and Applications

2004

tom 24

nr 1

63-74

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.

Representable dually residuated lattice-ordered monoids

100%

Kühr J.

Discussiones Mathematicae - General Algebra and Applications

2003

tom 23

nr 2

115-123

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.

Ograniczanie wyników

2 Discussiones Mathematicae - General Algebra and Applications

1 Kühr J.

1 Rachůnek J.

1 Šalounová D.

1 2004

1 2003

Wyniki wyszukiwania

Direct decompositions of dually residuated lattice-ordered monoids

Representable dually residuated lattice-ordered monoids