Tame comodule type, roiter bocses, and a geometry context for coalgebras

• Date: 2009
• Main Authors: Simson, D., Сімсон, Д.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3060
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the class of coalgebras $C$ of $fc$-tame comodule type introduced by the author. With any basic computable $K$-coalgebra $C$ and a bipartite vector $v = (v′|v″) ∈ K_0(C) × K_0(C)$, we associate a bimodule matrix problem $\textbf{Mat}^v_C(ℍ)$, an additive Roiter bocs $\textbf{B}^C_v$, an aff...