Hilbert algebras with supremum generated by finite chains

Year, pages: 2019, 953 - 963

Based on the work of A. Monteiro, A. Torrens, and D. Buşneag, in this paper we point out that the dual space of Hilbert algebras with supremum generated by chains depends, modulo the dual space of a Hilbert algebra with supremum defined by S. Celani an D. Montangie, exclusively, on the order carried out by the topological space. We use such a characterization to prove that a bounded Hilbert algebra generated by chains is determined by the monoid of its endomorphisms.

Gaitán, H. 2019. Hilbert algebras with supremum generated by finite chains. In Mathematica Slovaca, vol. 69, no.4, pp. 953-963. 0139-9918. DOI: https://doi.org/ 10.1515/ms-2017-0262

Gaitán, H. (2019). Hilbert algebras with supremum generated by finite chains. Mathematica Slovaca, 69(4), 953-963. 0139-9918. DOI: https://doi.org/ 10.1515/ms-2017-0262

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava