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In the present paper, we investigate the universal PBW basis and HN system for the derived Hall algebra of a triangulated category satisfying some finiteness conditions. Furthermore, we study the related stability conditions on the module category (Formula presented.) of the path algebra A of an acyclic quiver and on the bounded derived category of (Formula presented.). Moreover, we investigate the relation between the Ringel-Hall algebra and the HN system of A defined by Reineke. © 2023 Taylor & Francis Group, LLC.
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Communications in Algebra
ISSN： 0092-7872
Year： 2023
0 . 6
JCR@2023
0 . 6 0 0
JCR@2023
ESI HC Threshold：13
JCR Journal Grade：3
CAS Journal Grade：3
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ESI Highly Cited Papers on the List： 0 Unfold All
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