Mathematics – Representation Theory
Scientific paper
2010-10-21
Mathematics
Representation Theory
19 pages
Scientific paper
We make a first approach to the representation theory of the wedge product of coalgebras by means of the description of its valued Gabriel quiver. Then we define semiprime coalgebras and study its category of comodules by the use of localization techniques. In particular, we prove that, whether its Gabriel quiver is locally finite, any monomial semiprime fc-tame coalgebra is string. We also prove a weaker version of Eisenbud-Griffith theorem, namely, any hereditary semiprime strictly quasi-finite coalgebra is serial.
No associations
LandOfFree
The valued Gabriel quiver of a wedge product and semiprime coalgebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The valued Gabriel quiver of a wedge product and semiprime coalgebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The valued Gabriel quiver of a wedge product and semiprime coalgebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-423715