On support τ -tilting modules over endomorphism algebras of rigid objects
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| 024 | 7 | 0 | |a 10.1007/s10114-015-4161-4 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-4161-4 | ||
| 245 | 0 | 0 | |a On support τ -tilting modules over endomorphism algebras of rigid objects |h [Elektronische Daten] |c [Wen Chang, Jie Zhang, Bin Zhu] |
| 520 | 3 | |a We consider a Krull-Schmidt, Hom-finite, 2-Calabi-Yau triangulated category with a basic rigid object T, and show a bijection between the set of isomorphism classes of basic rigid objects in the finite presented category pr T of T and the set of isomorphism classes of basic τ-rigid pairs in the module category of the endomorphism algebra Endc(T) op . As a consequence, basic maximal objects in pr T are one-to-one correspondence to basic support τ-tilting modules over End c (T) op . This is a generalization of correspondences established by Adachi-Iyama-Reiten. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Rigid object |2 nationallicence | |
| 690 | 7 | |a maximal rigid object |2 nationallicence | |
| 690 | 7 | |a τ -rigid object |2 nationallicence | |
| 690 | 7 | |a finite presented category |2 nationallicence | |
| 700 | 1 | |a Chang |D Wen |u Department of Mathematical Sciences, Tsinghua University, 100084, Beijing, P. R. China |4 aut | |
| 700 | 1 | |a Zhang |D Jie |u School of Mathematics and Statistics, Beijing institute of technology, 100081, Beijing, P. R. China |4 aut | |
| 700 | 1 | |a Zhu |D Bin |u Department of Mathematical Sciences, Tsinghua University, 100084, Beijing, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/9(2015-09-01), 1508-1516 |x 1439-8516 |q 31:9<1508 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-4161-4 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-4161-4 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Chang |D Wen |u Department of Mathematical Sciences, Tsinghua University, 100084, Beijing, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zhang |D Jie |u School of Mathematics and Statistics, Beijing institute of technology, 100081, Beijing, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zhu |D Bin |u Department of Mathematical Sciences, Tsinghua University, 100084, Beijing, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/9(2015-09-01), 1508-1516 |x 1439-8516 |q 31:9<1508 |1 2015 |2 31 |o 10114 | ||