K. Lorensen

collaborators

2 papers

math.RA2026

Rank conditions and amenability for rings associated to graphs

Karl Lorensen, Johan Ãinert

We study path rings, Cohn path rings, and Leavitt path rings associated to directed graphs, with coefficients in an arbitrary ring $R$ . For each of these types of rings, we stipula…

math.RA2026

The rank condition and strong rank conditions for Ore extensions

Karl Lorensen, Johan Ãinert

Let $R$ be a ring, $I ¨ : R \to R$ a ring endomorphism, and $I^´ : R \to R$ a $I ¨ $ -derivation. We establish that the Ore extension $R [x; I ¨ , I^´]$ satisfies the rank condition if and only if…