2013/01/25 by Tomasz Brzeziński, Brzeziński, Tomasz · 1 citation
Mathematics · #16E45 #16T15 #18E30 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA #msc:16E45 #msc:16T15 #msc:18E30
paper · pdf · doi:10.48550/arxiv.1301.5985
25 pages
arxiv created 2013/01/25 · arxiv updated 2013/01/28
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 algebras is equivalent to the category of corings with surjective counits. Under this equivalence, comodules over a coring correspond to integrable connections or quasi-cohesive curved modules, while contramodules over a coring correspond to a specific class of curved modules introduced and termed Z-divergences in here.