Ideals and atoms of BZ-algebras

DOI10.2478/s12175-009-0135-2zbMath1240.03047OpenAlexW2040418408MaRDI QIDQ3391504

Yong-Quan Wang, Wiesław A. Dudek, Xiao Hong Zhang

Publication date: 11 August 2009

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-009-0135-2

zbMATH Keywords

atomclosed idealstrong idealregular idealBZ-algebra\((*)\)-idealBZ-ideal

Mathematics Subject Classification ID

BCK-algebras, BCI-algebras (06F35) Other algebras related to logic (03G25)

Related Items

Solid weak BCC-algebras ⋮ Unnamed Item ⋮ On filters in BZ-algebras ⋮ Fuzzy deductive systems of RM algebras ⋮ On some generalizations of BCC-algebras ⋮ Implicative UP-filters

Cites Work

• Fuzzy \(H\)-ideals in BCI-algebras
• The role of \(B(X)\) and \(L(X)\) in the ideal theory of \(BCI\)-algebras
• T-ideals in BZ-algebras and T-type BZ-algebras
• ON GROUP-LIKE BCI-ALGEBRAS
• On ideals and congruences in bcc-algebras
• An algebra related with a propositional calculus
• On fuzzy ideals in BCC-algebras
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