19 citations · 95 across the 22 of their papers we have counts for
5 papers · 1 filter
An algebraic framework for noncommutative bundles with homogeneous fibres
Tomasz Brzeziński, Wojciech Szymański
An algebraic framework for noncommutative bundles with (quantum) homogeneous fibres is proposed. The framework relies on the use of principal coalgebra extensions which play the ro…
Modules over trusses vs modules over rings: direct sums and free modules
Tomasz Brzeziński, Bernard Rybołowicz
Categorical constructions on heaps and modules over trusses are considered and contrasted with the corresponding constructions on groups and rings. These include explicit descripti…
From quasi-hereditary algebras with exact Borel subalgebras to directed bocses
Tomasz Brzeziński, Julian Külshammer, Steffen Koenig
Up to Morita equivalence, every quasi-hereditary algebra is the dual algebra of a directed bocs or coring. From the bocs, an exact Borel subalgebra is obtained. In this paper a cha…
The Quantum Flag Manifold as an Example of a Noncommutative Sphere Bundle
Tomasz Brzeziński, Wojciech Szymański
The quantum flag manifold is interpreted as a noncommutative bundle over the quantum complex projective plane with the quantum or Podleś sphere as a fibre.…
Trusses: Paragons, ideals and modules
Tomasz Brzeziński
Trusses, defined as sets with a suitable ternary and a binary operations, connected by the distributive laws, are studied from a ring and module theory point of view. The notions o…