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On the coradical filtration of pointed coalgebras

✍ Scribed by Darren B. Parker

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
127 KB
Volume
255
Category
Article
ISSN
0021-8693

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✦ Synopsis

We investigate the coradical filtration of pointed coalgebras. First, we generalize a theorem of Taft and Wilson using techniques developed by Radford. We then look at the coradical filtration of duals of inseparable field extensions L * upon extension of the base field K, where K βŠ† L is a field extension. We reduce the problem to the case that the field extension is purely inseparable. We use this to prove that if E is a field containing the normal closure of L over K, then E βŠ— L * =

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