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Locally unital quantum B-algebras

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Publication:5089416
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DOI10.1142/S0219498822501298OpenAlexW3129126613MaRDI QIDQ5089416

Zhigang Bao, Sheng-Wei Han

Publication date: 19 July 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822501298


zbMATH Keywords

filterquantaleimplication-commutative quantum B-algebralocally unital quantum B-algebratwo-sided quantum B-algebra


Mathematics Subject Classification ID

Other algebras related to logic (03G25) Quantum logic (03G12) Quantales (06F07) Abstract algebraic logic (03G27)




Cites Work

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  • Multi-posets in algebraic logic, group theory, and non-commutative topology
  • Hereditary arithmetics
  • Non-commutative logical algebras and algebraic quantales
  • Filters on some classes of quantum B-algebras
  • The unitality of quantum B-algebras
  • Quantum B-algebras: their omnipresence in algebraic logic and beyond
  • Embeddings of quantales into simple quantales
  • Monadic classes of quantum B-algebras
  • Dual quantum B-algebras
  • On the injective hulls of quantum B-algebras
  • Q-filters of quantum B-algebras and basic implication algebras
  • Quantum B-algebras
  • Quantum B-algebras with involutions
  • On the finite embeddability property for quantum B-algebras


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