Carai Luca
Fixed-term Research Fellow A
Scientific-Disciplinary Sector
MATH-01/A - Mathematical Logic
Scientific-Disciplinary Group/Competition Sector
01/MATH-01 - LOGICA MATEMATICA, DIDATTICA E STORIA DELLA MATEMATICA
Research fields and competencies
Office hours
By appointment (to be scheduled via email)
Reception office
Department of Mathematics, via C. Saldini 50, second floor, office 2090
Teaching - Programme courses
Bachelors and masters
A.Y. 2025/2026
A.Y. 2024/2025
A.Y. 2023/2024
Research
Publications
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Failure of the Blok–Esakia Theorem in the monadic setting / G. Bezhanishvili, L. Carai. - In: ANNALS OF PURE AND APPLIED LOGIC. - ISSN 0168-0072. - 176:4(2025 Apr), pp. 103527.1-103527.22. [10.1016/j.apal.2024.103527]
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A calculus for modal compact Hausdorff spaces / N. Bezhanishvili, L. Carai, S. Ghilardi, Z. Zhao. - In: JOURNAL OF LOGIC AND COMPUTATION. - ISSN 0955-792X. - (2025), pp. exae086.1-exae086.30. [Epub ahead of print] [10.1093/logcom/exae086]
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Epimorphisms between finitely generated algebras / L. Carai, M. Kurtzhals, T. Moraschini. - In: INDAGATIONES MATHEMATICAE. - ISSN 0019-3577. - (2025), pp. 1-19. [10.1016/j.indag.2025.04.006]
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Connecting generalized Priestley duality to Hofmann-Mislove-Stralka duality / G. Bezhanishvili, L. Carai, P.J. Morandi. - In: THEORY AND APPLICATIONS OF CATEGORIES. - ISSN 1201-561X. - 41:(2024 Nov 21), pp. 54.1937-54.1982.
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Vietoris Endofunctor for Closed Relations and Its de Vries Dual / M. Abbadini, G. Bezhanishvili, L. Carai. - 64:(2024), pp. 213-250.