Some semilattice decompositions of dimonoids

• Autorzy: Zhuchok A. V.
• Języki publikacji: EN

Abstrakty

EN

We show that the system of axioms of a dimonoid is independent and prove that every dimonoid with a commutative operation is a semilattice of Archimedean subdimonoids,every dimonoid with a commutative periodic semigroup is a semilattice of unipotent subdimonoids,every dimonoid with a commutative operation is a semilattice of a connected subdimonoids and every idempotent dimonoid is a semilattice of rectangular subdimonoids.

Słowa kluczowe

EN

dimonoid; semigroup; semilattice of subdimonoids

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2011
• Tom: Vol. 44, nr 3
• Strony: 629--645
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Zhuchok A. V.

• Department Of Mechanics And Mathematics Kyiv National Taras Shevchenko University Volodymyrska Str., 64 Kyiv, 01033, Ukraine,

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