Yogyakarta, February 24, 2025 – The Department of Mathematics at FMIPA UGM successfully organized an Algebra Colloquium featuring Prof. Dr. Jan Paseka from Masaryk University, Czech Republic. In his talk, Prof. Paseka presented “The Logic of Quantum Mechanics via Quantales and Quantale Modules,” highlighting the role of quantales in understanding the logic of quantum mechanics.
The colloquium aimed to deepen participants’ understanding of the relationship between algebraic structures, ring theory, and quantum mechanics logic. At the beginning of his lecture, Prof. Paseka traced the development of ring theory in mathematics, starting from concepts introduced by Krull, further developed by Ward and Dilworth, and later extended by Niefield and Rosenthal through the exploration of ideal theory in both commutative and non-commutative rings.
Prof. Paseka also elaborated on the application of quantales in the representation of C*-algebras, particularly in understanding non-commutative topological structures and the spectrum of C*-algebras. He further discussed the role of quantales and quantale modules in quantum mechanics logic, including the concept of involutive quantales, which introduce involution operations within algebraic structures.
The colloquium attracted students, faculty members, and researchers from various institutions. Participants from outside UGM also actively joined the discussion via Zoom. The session became even more engaging as several attendees posed in-depth questions regarding the applications of quantales in quantum theory, further enriching the discussion.
The event concluded with an interactive Q&A session. Through this initiative, the Department of Mathematics at FMIPA UGM reaffirms its commitment to fostering high-quality academic discussions that expand the knowledge of both the academic community and the broader scientific audience in the fields of algebra and mathematics.
Keywords: Algebra Colloquium, Quantales, Quantale Modules
Author: Iin Nauli Rahmawati
Photographer: Iin Nauli Rahmawati