Extending Stone duality to multisets and locally finite MV-algebras

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Cite
Cignoli, Roberto, et al. “Extending Stone Duality to Multisets and Locally Finite MV-Algebras”. Journal of Pure and Applied Algebra, vol. 189, no. 1-3, 2004, pp. 37-59, https://doi.org/10.1016/j.jpaa.2003.10.021.
Cignoli, R., Dubuc, E. J., & Mundici, D. (2004). Extending Stone duality to multisets and locally finite MV-algebras. Journal of Pure and Applied Algebra, 189(1-3), 37-59. https://doi.org/10.1016/j.jpaa.2003.10.021
Cignoli R, Dubuc EJ, Mundici D. Extending Stone duality to multisets and locally finite MV-algebras. Journal of Pure and Applied Algebra. 2004;189(1-3):37-59.
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Refrences
Title Journal Journal Categories Citations Publication Date
Boolean Products of MV-Algebras: Hypernormal MV-Algebras Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
15 1996
Reconstructing C*-Algebras from Their Murray von Neumann Orders Advances in Mathematics
  • Science: Mathematics
13 1993
Multiset theory. Notre Dame Journal of Formal Logic
  • Science: Mathematics
  • Science: Mathematics
  • Philosophy. Psychology. Religion: Philosophy (General)
127 1989
The Concept of Multiset Mathematical Logic Quarterly
  • Science: Mathematics
  • Science: Mathematics
14 1987
Interpretation of AF C∗-algebras in Łukasiewicz sentential calculus Journal of Functional Analysis
  • Science: Mathematics
409 1986
Citations
Title Journal Journal Categories Citations Publication Date
Separable MV-algebras and lattice-ordered groups Journal of Algebra
  • Science: Mathematics
2024
Liminary C⁎-algebras with boolean spectrum Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
Radically principal MV-algebras

Mathematica Slovaca
  • Science: Mathematics
2023
Are locally finite MV-algebras a variety? Journal of Pure and Applied Algebra
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
1 2022
A set-theoretic proof of the representation of MV-algebras by sheaves Journal of Applied Non-Classical Logics 2022
Citations Analysis
The category Science: Mathematics 28 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A Characterization of the free n-generated MV-algebra and was published in 2005. The most recent citation comes from a 2024 study titled Separable MV-algebras and lattice-ordered groups. This article reached its peak citation in 2018, with 4 citations. It has been cited in 16 different journals. Among related journals, the Journal of Algebra cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year