THE USE OF QUIVER AS VISUALIZATION OF MODULES OVER ALGEBRAS

THE USE OF QUIVER AS VISUALIZATION OF MODULES OVER ALGEBRAS

<br /> <br /> <br /> <br /> <br /> Let K be an algebraically closed field and A be a basic, connected, finite dimensional K-algebra. By using a bound quiver (Q,I) associated to A, in this work we explain how any A-module M can be visualised as a K-linear representat...

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Main Author: RACHMAN INAK (NIM : 10108044); Pembimbing : Dr. Muchtadi Intan Detiena, AULIA
Format: Final Project
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/15092
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:15092
spelling id-itb.:150922017-09-27T11:43:00ZTHE USE OF QUIVER AS VISUALIZATION OF MODULES OVER ALGEBRAS RACHMAN INAK (NIM : 10108044); Pembimbing : Dr. Muchtadi Intan Detiena, AULIA Indonesia Final Project INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/15092 <br /> <br /> <br /> <br /> <br /> Let K be an algebraically closed field and A be a basic, connected, finite dimensional K-algebra. By using a bound quiver (Q,I) associated to A, in this work we explain how any A-module M can be visualised as a K-linear representation of (Q,I), which is, a family of K-vector space Ma, for any point a in Q, connected by K-linear maps rho alpha : Ma -> Mb corresponding to arrows alpha : a -> b di Q, and satisfying some relations induced by I. text
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description <br /> <br /> <br /> <br /> <br /> Let K be an algebraically closed field and A be a basic, connected, finite dimensional K-algebra. By using a bound quiver (Q,I) associated to A, in this work we explain how any A-module M can be visualised as a K-linear representation of (Q,I), which is, a family of K-vector space Ma, for any point a in Q, connected by K-linear maps rho alpha : Ma -> Mb corresponding to arrows alpha : a -> b di Q, and satisfying some relations induced by I.
format Final Project
author RACHMAN INAK (NIM : 10108044); Pembimbing : Dr. Muchtadi Intan Detiena, AULIA
spellingShingle RACHMAN INAK (NIM : 10108044); Pembimbing : Dr. Muchtadi Intan Detiena, AULIA
THE USE OF QUIVER AS VISUALIZATION OF MODULES OVER ALGEBRAS
author_facet RACHMAN INAK (NIM : 10108044); Pembimbing : Dr. Muchtadi Intan Detiena, AULIA
author_sort RACHMAN INAK (NIM : 10108044); Pembimbing : Dr. Muchtadi Intan Detiena, AULIA
title THE USE OF QUIVER AS VISUALIZATION OF MODULES OVER ALGEBRAS
title_short THE USE OF QUIVER AS VISUALIZATION OF MODULES OVER ALGEBRAS
title_full THE USE OF QUIVER AS VISUALIZATION OF MODULES OVER ALGEBRAS
title_fullStr THE USE OF QUIVER AS VISUALIZATION OF MODULES OVER ALGEBRAS
title_full_unstemmed THE USE OF QUIVER AS VISUALIZATION OF MODULES OVER ALGEBRAS
title_sort use of quiver as visualization of modules over algebras
url https://digilib.itb.ac.id/gdl/view/15092
_version_ 1820737391749496832

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