The prime and maximal spectra and the reticulation of BL-algebras

• Autorzy: Laurenťiu Leuštean
• Języki publikacji: EN

Abstrakty

EN

In this paper we study the prime and maximal spectra of a BL-algebra, proving that the prime spectrum is a compact T 0 topological space and that the maximal spectrum is a compact Hausdorff topological space. We also define and study the reticulation of a BL-algebra.

Słowa kluczowe

EN

BL-algebras; prime spectrum; maximal spectrum; reticulation; bounded distributive lattices; 08A72; 03G25; 06F99; 06D05

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2003
• Tom: 1
• Numer: 3
• Strony: 382-397

Daty

wydano

2003-09-01

online

2003-09-01

Twórcy

autor

Laurenťiu Leuštean

• National Institute for Research and Development in Informatics

Bibliografia

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Identyfikatory

DOI

10.2478/BF02475217