τ-Tilting finiteness of two-point algebras II
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Published:2023-10-04
Issue:
Volume:
Page:
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Affiliation:
1. Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, P. R. China
Abstract
In this paper, we explain a strategy on [Formula: see text]-vectors to discover some new minimal [Formula: see text]-tilting infinite two-point algebras. Consequently, the [Formula: see text]-tilting finiteness of various two-point monomial algebras, including all radical cube zero cases, could be determined. Moreover, we find that the derived equivalence class of the Kronecker algebra contains only itself and its opposite algebra.
Funder
National Key R&D Program of China
Postdoctoral Research Foundation of China
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory