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Volume 31, Issue 2
Two Dimensional Indecomposable Modules over Infinite Dimensional Hereditary Path Algebras

Ruchen Hou, Guohui Wang & Zhi Cheng

DOI: 10.13447/j.1674-5647.2015.02.08

Commun. Math. Res., 31 (2015), pp. 171-179.

Published online: 2021-05

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  • Abstract

Non-isomorphic two dimensional indecomposable modules over infinite dimensional hereditary path algebras are described. We infer that none of them can be determined by their dimension vectors.

  • Keywords

infinite dimensional hereditary path algebra, path algebra, quiver representation, indecomposable module.

  • AMS Subject Headings

16G20, 15A21

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-31-171, author = {Hou , RuchenWang , Guohui and Cheng , Zhi}, title = {Two Dimensional Indecomposable Modules over Infinite Dimensional Hereditary Path Algebras}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {31}, number = {2}, pages = {171--179}, abstract = {

Non-isomorphic two dimensional indecomposable modules over infinite dimensional hereditary path algebras are described. We infer that none of them can be determined by their dimension vectors.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.02.08}, url = {http://global-sci.org/intro/article_detail/cmr/18940.html} }
TY - JOUR T1 - Two Dimensional Indecomposable Modules over Infinite Dimensional Hereditary Path Algebras AU - Hou , Ruchen AU - Wang , Guohui AU - Cheng , Zhi JO - Communications in Mathematical Research VL - 2 SP - 171 EP - 179 PY - 2021 DA - 2021/05 SN - 31 DO - http://doi.org/10.13447/j.1674-5647.2015.02.08 UR - https://global-sci.org/intro/article_detail/cmr/18940.html KW - infinite dimensional hereditary path algebra, path algebra, quiver representation, indecomposable module. AB -

Non-isomorphic two dimensional indecomposable modules over infinite dimensional hereditary path algebras are described. We infer that none of them can be determined by their dimension vectors.

Hou , RuchenWang , Guohui and Cheng , Zhi. (2021). Two Dimensional Indecomposable Modules over Infinite Dimensional Hereditary Path Algebras. Communications in Mathematical Research . 31 (2). 171-179. doi:10.13447/j.1674-5647.2015.02.08
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