65 citations · 389 across the 65 of their papers we have counts for
67 papers
On congruence classes and extensions of rings with applications to braces
Tomasz Brzeziński, Bernard Rybołowicz
Two observations in support of the thesis that trusses are inherent in ring theory are made. First, it is shown that every equivalence class of a congruence relation on a ring or,…
On twisted reality conditions
Tomasz Brzezinski, Ludwik Dabrowski, Andrzej Sitarz
We study the twisted reality condition of Math. Phys. Anal. Geom. 19 (2016),no. 3, Art. 16, for spectral triples, in particular with respect to the product and the commutant. Motiv…
Twisted reality condition for Dirac operators
Tomasz Brzeziński, Nicola Ciccoli, Ludwik Dąbrowski +1
Motivated by examples obtained from conformal deformations of spectral triples and a spectral triple construction on quantum cones we propose a new twisted reality condition for th…
Circle and line bundles over generalized Weyl algebras
Tomasz Brzeziński
Strongly -graded algebras or principal circle bundles and associated line bundles or invertible bimodules over a class of generalized Weyl algebras $\mathcal{B}(p;q, 0)…
Weighted circle actions on the Heegaard quantum sphere
Tomasz Brzeziński, Simon A. Fairfax
Weighted circle actions on the quantum Heeqaard 3-sphere are considered. The fixed point algebras, termed quantum weighted Heegaard spheres, and their representations are classifie…
Curved differential graded algebras and corings
Tomasz Brzeziński
A relationship between curved differential algebras and corings is established and explored. In particular it is shown that the category of semi-free curved differential graded alg…