Abstract: We introduce and study categorical realizations of quivers. This construction generalizes comma categories and includes representations of quivers on categories, twisted representations of quivers and bilinear pairings as special cases. We prove a Krull-Schmidt Theorem in this general context, which results in a Krull-Schmidt Theorem for the special cases just mentioned. We also show that cancellation holds under milder assumptions. Using similar ideas we prove a version of Fitting's Lemma for natural transformations between functors.
Popularity: This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the
underlying citation network.
Influence: This indicator reflects the overall/total impact of an article in the research community at large, based on the
underlying citation network (diachronically).
Citation Count: This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in
the research community at large, based on the underlying citation network (diachronically).
Impulse: This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation
network.
We have placed cookies on your device to help make this website and the services we offer better. By using this site, you agree to the use of cookies. Learn more