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math.QA2011
Noncommutative orders. A preliminary study
Tomasz Brzeziński
The first steps towards linearisation of partial orders and equivalence relations are described. The definitions of partial orders and equivalence relations (on sets) are formulate…
math.QA2011
Line bundles and the Thom construction in noncommutative geometry
E. J. Beggs, T. Brzezinski
The idea of a line bundle in classical geometry is transferred to noncommutative geometry by the idea of a Morita context. From this we can construct Z and N graded algebras, the Z…