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Picard groups and strongly graded coalgebras

✍ Scribed by J. Cuadra; J.R. Garcı́a Rozas; B. Torrecillas

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
204 KB
Volume
165
Category
Article
ISSN
0022-4049

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✦ Synopsis

In this paper we study strongly graded coalgebras and its relation to the Picard group. A classiÿcation theorem for this kind of coalgebras is given via the second Doi's cohomology group. The strong Picard group of a coalgebra is introduced in order to characterize those graded coalgebras with strongly graded dual ring. Finally, for a Hopf algebra H we also characterize the H * -Galois coextensions with dual H -Galois extension solving the question proposed in D asc alescu et al.,

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Actions of Picard Groups on Graded Rings
Actions of Picard Groups on Graded Rings
✍ Jeremy Haefner; Angel del Rı́o 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 230 KB

fect or the grading of R is simpler e.g., R is a crossed product or a skew . group ring . We apply our solution of Problem A to the study of a more concrete problem: Problem B. Characterize semisimple strongly G-graded rings.