caa a22 4500 606161023 CHVBK 20210128100632.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10468-015-9534-y doi (NATIONALLICENCE)springer-10.1007/s10468-015-9534-y Yao Lingling Department of Mathematics, Southeast University, 210096, Nanjing, China aut The Torsionless Modules Over Cluster-Tilted Algebras of Type A n [Elektronische Daten] [Lingling Yao] In this paper, we considered the torsionless modules over cluster-titled algebras of type A n . For this type of algebras we deduced some properties and characterizations of the torsionless modules. Moreover, it is nicely showed that M is an indecomposable torsionless module if and only if M is an indecomposable projective module or M = L(α), where α : x → y is a cyclic arrow and P ( y ) → P ( α ) P ( x ) → L ( α ) → 0 $P(y)\stackrel {P(\alpha )}\rightarrow P(x)\rightarrow L(\alpha )\rightarrow 0$ . The Auslander-Reiten structure is also investigated. Springer Science+Business Media Dordrecht, 2015 Cluster-tilted algebra of type A n nationallicence Torsionless module nationallicence Algebras and Representation Theory Springer Netherlands 18/4(2015-08-01), 1101-1121 1386-923X 18:4<1101 2015 18 10468 https://doi.org/10.1007/s10468-015-9534-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10468-015-9534-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Yao Lingling Department of Mathematics, Southeast University, 210096, Nanjing, China aut NATIONALLICENCE 773 0- Algebras and Representation Theory Springer Netherlands 18/4(2015-08-01), 1101-1121 1386-923X 18:4<1101 2015 18 10468