On the lattice of deductive systems of a BL-algebra

• Autorzy: Dumitru Bu§neag , Dana Piciu
• Języki publikacji: EN

Abstrakty

EN

For a BL-algebra A we denote by Ds(A) the lattice of all deductive systems of A. The aim of this paper is to put in evidence new characterizations for the meet-irreducible elements on Ds(A). Hyperarchimedean BL-algebras, too, are characterized.

Słowa kluczowe

EN

BL-algebra; Boolean algebra; Archimedean; Hyperarchimedean BL-algebra; Deductive system; Irreducible element; Prime deductive system; Maximal deductive system; 03G10

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2003
• Tom: 1
• Numer: 2
• Strony: 221-237

Daty

wydano

2003-06-01

online

2003-06-01

Twórcy

autor

Dumitru Bu§neag

• University of Craiova

autor

Dana Piciu

• University of Craiova

Bibliografia

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• [9] A. Iorgulescu: “Iséki algebras. Connections with BL-algebras”, to appear in Soft Computing.
• [10] A. Di Nola, G. Georgescu, A. Iorgulescu: “Pseudo-BL-algebras”, to appear in Multiple Valued Logic.
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Identyfikatory

DOI

10.2478/BF02476010