Corings over rings with local units

Laiachi El Kaoutit

Type: Article

Publication Date: 2009-04-16

Citations: 9

DOI: https://doi.org/10.1002/mana.200610767

Abstract

Abstract We show that the bicategory whose 0‐cells are corings over rings with local units is bi‐equivalent to the bicategory of comonads in (right) unital modules whose underlying functors are right exact and preserve direct sums. A base ring extension of a coring by an adjunction is introduced as well (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Locations

arXiv (Cornell University) - View - PDF
Mathematische Nachrichten - View

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+	Frobenius functors: applications	1999	Florencio Castaño Iglesias José Gómez-Torrecillas C. Nacaronstacaronsescu
+ PDF Chat	Adjoint functors and triples	1965	Samuel Eilenberg John C. Moore
+ PDF Chat	Morita equivalence for rings withot identity	1987	L. Márki Anh P.N.
+	Introduction to bicategories	1967	Jean Bénabou
+	On adjoint functors in representation theory	1981	R. Bautista L. Colavita L. Salmerón
+	Morita Equivalence for regular algebras	1998	E. M. Vitale François Grandjean
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+	Rings with finiteness conditions and their categories of functors	1978	Kent R. Fuller Harlan Lyle Hullinger
+ PDF Chat	Bifunctors and adjoint pairs	1971	J. Fisher Palmquist David C. Newell