Universal deformation rings of modules for algebras of dihedral type of polynomial growth (Q2015183)

Let \(k\) be an algebraically closed field and let \(\Lambda\) be an algebra of dihedral type of polynomial growth (classified by \textit{K. Erdmann} and \textit{A. Skowroński} [Trans. Am. Math. Soc. 330, No. 1, 165--189 (1992; Zbl 0757.16004)]). The authors (in Theorem 1.1) describe all finitely generated \(\Lambda\)-modules with stable endomorphism ring isomorphic to \(k\). For such a module \(V\) the universal deformation ring \(R(\Lambda,V)\) is given. Moreover, the authors prove that the only possibilities for \(R(\Lambda,V)\) are: \(k\), \(k[[t]]/(t^2)\) and \(k[[t]]\).