The Belluce-lattice associated with a bounded Hilbert algebra

DOI10.1007/s00500-015-1714-5zbMath1364.06013OpenAlexW390034214MaRDI QIDQ521730

Dana Piciu, Dumitru Buşneag

Publication date: 12 April 2017

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-015-1714-5

zbMATH Keywords

distributive latticeHilbert algebraprime spectrummaximal spectrumBelluce latticereticulation

Mathematics Subject Classification ID

BCK-algebras, BCI-algebras (06F35) Topological spaces and generalizations (closure spaces, etc.) (54A05) Structure and representation theory of distributive lattices (06D05) Lattice ideals, congruence relations (06B10)

Cites Work

• Hilbert algebras of fractions
• Reticulated rings
• The prime and maximal spectra and the reticulation of BL-algebras
• The stable topology for residuated lattices
• On the free implicative semilattice extension of a Hilbert algebra
• Semisimple Algebras of Infinite Valued Logic and Bold Fuzzy Set Theory
• Spectral spacess and non-commutative rings
• Normal lattices
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