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ON THE REPRESENTATION TYPE OF CERTAIN TRIVIAL EXTENSIONS
2001
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Let A ∼ = kQ/I be a basic and connected finite dimension algebra over closed field k. In this note show that in case B = A[M ] is a tame one-point extension of a tame concealed algebra A by an indecomposable module M , then the trivial extension T (B) = B ∝ DB is tame if and only if the module M is regular.
doi:10.4067/s0716-09172001000300005
fatcat:lmzre42jgnef5ou4dfyxfhrrd4