2021
DOI: 10.1007/s10468-020-10023-9
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The strong simple connectedness of tame algebras with separating almost cyclic coherent Auslander–Reiten components

Abstract: We study the strong simple connectedness of finite-dimensional tame algebras over an algebraically closed field, for which the Auslander–Reiten quiver admits a separating family of almost cyclic coherent components. As the main application we describe all analytically rigid algebras in this class.

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“…Finally, we also mention that A is a generalized multicoil algebra such that A contains the exceptional configurations of modules. Example 7.3 We borrow the following example from [31]. Let A = kQ/I be the bound quiver algebra given by the quiver Q of the form and I the ideal in the path algebra kQ of Q over k generated by the elements αβ, γ δ, ηε, ,…”
Section: Example 72mentioning
confidence: 99%
“…Finally, we also mention that A is a generalized multicoil algebra such that A contains the exceptional configurations of modules. Example 7.3 We borrow the following example from [31]. Let A = kQ/I be the bound quiver algebra given by the quiver Q of the form and I the ideal in the path algebra kQ of Q over k generated by the elements αβ, γ δ, ηε, ,…”
Section: Example 72mentioning
confidence: 99%