On comonadicity of the extension-of-scalars functors

Journal of Algebra

Volumn 305, Issue 2, 2006, Pages 1102-1110

  Mesablishvili, Bachuki ^a  

^a A RAZMADZE MATHEMATICAL INSTITUTE   (Georgia)

Author keywords

Comonadicity; Extension of scalars functor; Noncommutative descent

Indexed keywords

EID: 33749267106     PISSN: 00218693     EISSN: 1090266X     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2006.07.014     Document Type: Article

References (15)

1. Barr M., and Wells C. Toposes, Triples, and Theories. Grundlehren Math. Wiss. vol. 278 (1985), Springer-Verlag
2. Bénabou J., and Roubaud J. Monades et descente. C. R. Acad. Sci. 270 (1970) 96-98
3. Brzeziński T. The structure of corings. Induction functors, Maschke-type theorem, and Frobenius and Galois-type properties. Algebr. Represent. Theory 5 (2002) 389-410
4. Brzeziński T. The bicategory of corings. math.RA/0408042v1
5. Brzeziński T. A note on coring extensions. math.RA/0410020v1
6. Caenepeel S. Galois corings from the descent theory point of view. Galois Theory, Hopf Algebras and Semiabelian Categories. Fields Inst. Commun. vol. 43 (2004), Amer. Math. Soc., Providence, RI 163-186
7. S. Caenepeel, E. De Groot, J. Vercruysse, Galois theory for comatrix corings: Descent theory, Morita theory, Frobenius and separability properties, Trans. Amer. Math. Soc., in press
8. Cipolla M. Discesa fedelmente piatta dei moduli. Rend. Circ. Mat. Palermo 25 (1976) 43-46
9. El Kaoutit L., and Gómez-Torrecillas J. Comatrix corings: Galois corings, descent theory, and a structure theorem for cosemisimple corings. Math. Z. 244 (2003) 887-906
10. Janelidze G., and Tholen W. Facets of descent, III: Monadic descent for rings and algebras. Appl. Categ. Structures 12 (2004) 461-476
11. MacLane S. Categories for the Working Mathematician. Grad. Texts in Math. vol. 5 (1971), Springer-Verlag, Berlin
12. Mesablishvili B. Monads of effective descent type and comonadicity. Theory Appl. Categ. 16 (2006) 1-45
13. Mesablishvili B. Pure morphisms of commutative rings are effective descent morphisms for modules-A new proof. Theory Appl. Categ. 7 (2000) 38-42
14. Lam T.Y. Lectures on Modules and Rings. Grad. Texts in Math. (1999), Springer-Verlag, New York
15. Nuss P. Noncommutative descent and non-abelian cohomology. K-Theory 12 (1997) 23-74