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- W2090508720 abstract "Let k be a field, and let Λ be a finite dimensional k-algebra. We prove that if Λ is a self-injective algebra, then every finitely generated Λ-module V whose stable endomorphism ring is isomorphic to k has a universal deformation ring R(Λ,V) which is a complete local commutative Noetherian k-algebra with residue field k. If Λ is also a Frobenius algebra, we show that R(Λ,V) is stable under taking syzygies. We investigate a particular Frobenius algebra Λ0 of dihedral type, as introduced by Erdmann, and we determine R(Λ0,V) for every finitely generated Λ0-module V whose stable endomorphism ring is isomorphic to k." @default.
- W2090508720 created "2016-06-24" @default.
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- W2090508720 date "2012-10-01" @default.
- W2090508720 modified "2023-10-16" @default.
- W2090508720 title "Universal deformation rings of modules over Frobenius algebras" @default.
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- W2090508720 doi "https://doi.org/10.1016/j.jalgebra.2012.06.008" @default.
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