Open Access
november 2013 Curved differential graded algebras and corings
Tomasz Brzeziński
Bull. Belg. Math. Soc. Simon Stevin 20(5): 909-936 (november 2013). DOI: 10.36045/bbms/1385390772


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 $\mathbb Z$-divergences in here.


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Tomasz Brzeziński. "Curved differential graded algebras and corings." Bull. Belg. Math. Soc. Simon Stevin 20 (5) 909 - 936, november 2013.


Published: november 2013
First available in Project Euclid: 25 November 2013

zbMATH: 1296.16035
MathSciNet: MR3160597
Digital Object Identifier: 10.36045/bbms/1385390772

Primary: 16E45 , 16T15 , 18E30

Keywords: comodule , contramodule , coring , curved differential graded algebra , integrable connection , integrable divergence

Rights: Copyright © 2013 The Belgian Mathematical Society

Vol.20 • No. 5 • november 2013
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