Quivers of Bound Path Algebras and Bound Path Coalgebras
Algebras and coalgebras can be represented as quiver (directed graph), and from quiver we can construct algebras and coalgebras called path algebras and path coalgebras. In this paper we show that the quiver of a bound path coalgebra (resp. algebra) is the dual quiver of its bound path algebra (resp...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
ITB Journal Publisher
2013-07-01
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| Series: | Journal of Mathematical and Fundamental Sciences |
| Online Access: | https://journals.itb.ac.id/index.php/jmfs/article/view/69 |
| _version_ | 1818285672416411648 |
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| author | Intan Muchtadi Alamsyah Hanni Garmini |
| author_facet | Intan Muchtadi Alamsyah Hanni Garmini |
| author_sort | Intan Muchtadi Alamsyah |
| collection | DOAJ |
| description | Algebras and coalgebras can be represented as quiver (directed graph), and from quiver we can construct algebras and coalgebras called path algebras and path coalgebras. In this paper we show that the quiver of a bound path coalgebra (resp. algebra) is the dual quiver of its bound path algebra (resp. coalgebra). |
| first_indexed | 2024-12-13T01:12:25Z |
| format | Article |
| id | doaj.art-23ea2c6cfe1546bcae31f436dc229840 |
| institution | Directory Open Access Journal |
| issn | 2337-5760 2338-5510 |
| language | English |
| last_indexed | 2024-12-13T01:12:25Z |
| publishDate | 2013-07-01 |
| publisher | ITB Journal Publisher |
| record_format | Article |
| series | Journal of Mathematical and Fundamental Sciences |
| spelling | doaj.art-23ea2c6cfe1546bcae31f436dc2298402022-12-22T00:04:26ZengITB Journal PublisherJournal of Mathematical and Fundamental Sciences2337-57602338-55102013-07-0142210.5614/itbj.sci.2010.42.2.6Quivers of Bound Path Algebras and Bound Path CoalgebrasIntan Muchtadi Alamsyah0Hanni Garmini11Algebra Research Division, FMIPA ITB, Bandung, Indonesia.2Algebra Research Division, FMIPA ITB, Bandung, Indonesia.Algebras and coalgebras can be represented as quiver (directed graph), and from quiver we can construct algebras and coalgebras called path algebras and path coalgebras. In this paper we show that the quiver of a bound path coalgebra (resp. algebra) is the dual quiver of its bound path algebra (resp. coalgebra).https://journals.itb.ac.id/index.php/jmfs/article/view/69 |
| spellingShingle | Intan Muchtadi Alamsyah Hanni Garmini Quivers of Bound Path Algebras and Bound Path Coalgebras Journal of Mathematical and Fundamental Sciences |
| title | Quivers of Bound Path Algebras and Bound Path Coalgebras |
| title_full | Quivers of Bound Path Algebras and Bound Path Coalgebras |
| title_fullStr | Quivers of Bound Path Algebras and Bound Path Coalgebras |
| title_full_unstemmed | Quivers of Bound Path Algebras and Bound Path Coalgebras |
| title_short | Quivers of Bound Path Algebras and Bound Path Coalgebras |
| title_sort | quivers of bound path algebras and bound path coalgebras |
| url | https://journals.itb.ac.id/index.php/jmfs/article/view/69 |
| work_keys_str_mv | AT intanmuchtadialamsyah quiversofboundpathalgebrasandboundpathcoalgebras AT hannigarmini quiversofboundpathalgebrasandboundpathcoalgebras |