Comatrix corings: Galois corings, Descent Theory, and a Structure Theorem for Cosemisimple corings Export

@article{KaoutitGomez-Torrecillas03ComatrixCorings, abstract = {In order to extrincate the structure of corings with a finitelygenerated and projective generator we give the notion of a comatrixcoring. As consequences we give generalizations of the maincharacterizations of faithfully flat Galois corings and extensions whichwork for corings without grouplike elements, as well as a generalizationof the Descent Theorem. We provide also a complete description of allcosemisimple corings. No restrictions are made over the groundnoncommutative ring.}, archivePrefix = {arXiv}, author = {El and Gomez-Torrecillas, J.}, citeulike-article-id = {4785470}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0207205}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0207205}, citeulike-linkout-2 = {http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=2002math......7205K}, eprint = {math/0207205}, journal = {ArXiv Mathematics e-prints}, keywords = {category\_theory, modules}, month = {July}, posted-at = {2009-06-09 11:11:47}, priority = {2}, title = {{Comatrix corings: Galois corings, Descent Theory, and a Structure Theorem for Cosemisimple corings}}, url = {http://arxiv.org/abs/math/0207205}, year = {2002} }

TY - JOUR ID - KaoutitGomez-Torrecillas03ComatrixCorings L3 - citeulike-article-id:4785470 N2 - In order to extrincate the structure of corings with a finitelygenerated and projective generator we give the notion of a comatrixcoring. As consequences we give generalizations of the maincharacterizations of faithfully flat Galois corings and extensions whichwork for corings without grouplike elements, as well as a generalizationof the Descent Theorem. We provide also a complete description of allcosemisimple corings. No restrictions are made over the groundnoncommutative ring. JF - ArXiv Mathematics e-prints TI - {Comatrix corings: Galois corings, Descent Theory, and a Structure Theorem for Cosemisimple corings} KW - category_theory KW - modules AU - El AU - Gomez-Torrecillas, J PY - 2002/July// UR - http://arxiv.org/abs/math/0207205 ER -