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The U-projective resolution of modules over path algebras of types An and Ãn
Baur K.a, Mahatma Y.b, Muchtadi-Alamsyah I.b
a Institut für Mathematik und Wissenschaftliches Rechnen Universität Graz, Graz, A-8010, Austria
b Bandung Institute of Technology, Bandung, 40132, Indonesia
[vc_row][vc_column][vc_row_inner][vc_column_inner][vc_separator css=”.vc_custom_1624529070653{padding-top: 30px !important;padding-bottom: 30px !important;}”][/vc_column_inner][/vc_row_inner][vc_row_inner layout=”boxed”][vc_column_inner width=”3/4″ css=”.vc_custom_1624695412187{border-right-width: 1px !important;border-right-color: #dddddd !important;border-right-style: solid !important;border-radius: 1px !important;}”][vc_empty_space][megatron_heading title=”Abstract” size=”size-sm” text_align=”text-left”][vc_column_text]© 2019 Korean Mathematical Society.In this paper we compute the U-projective resolution of kQ-modules where Q is quiver of type An And Ãn. The behavior of the sequence can be seen through its geometric representation.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Author keywords” size=”size-sm” text_align=”text-left”][vc_column_text][/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Indexed keywords” size=”size-sm” text_align=”text-left”][vc_column_text]Module,Path algebra,Projective resolution,Quiver[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Funding details” size=”size-sm” text_align=”text-left”][vc_column_text]Figure 14. Geometric representation for I(i)-projective resolution of kQ3,2-module I(i). From top to bottom: i = 0,i = 1, i = 2, i = 3, i = 4 Acknowledgements. The second author was funded by Sandwich-like Program from Directorate General of Resources for Sciences, Technology, and Higher Education; Ministry of Research and Technology Republic of Indonesia, carried out from October 2017 to January 2018 at the University of Leeds, United Kingdom. He wishes to thank Prof. Robert J. Marsh from the University of Leeds for discussions during the visit. The first and third authors were funded by ASEA UNINET Program 2016. This research was also partially funded by Hibah Desentralisasi DIKTI 2017-2018.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”DOI” size=”size-sm” text_align=”text-left”][vc_column_text]https://doi.org/10.4134/CKMS.c180226[/vc_column_text][/vc_column_inner][vc_column_inner width=”1/4″][vc_column_text]Widget Plumx[/vc_column_text][/vc_column_inner][/vc_row_inner][/vc_column][/vc_row][vc_row][vc_column][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][/vc_column][/vc_row]