CHARACTERISATION OF MODULES OVER PATH ALGEBRA

dc.contributor.author	Karthika, S
dc.contributor.author	Viji, M
dc.date.accessioned	2025-01-28T06:46:45Z
dc.date.available	2025-01-28T06:46:45Z
dc.date.issued	2024
dc.identifier.citation	Palestine Journal of Mathematics Vol 13 No 3	en_US
dc.identifier.issn	2219-5688
dc.identifier.uri	https://pjm.ppu.edu/paper/1746-characterisation-modules-over-path-algebra
dc.identifier.uri	http://starc.stthomas.ac.in:8080/xmlui/xmlui/handle/123456789/421
dc.description.abstract	Let K be a field, Q = (Q0, Q1) be a quiver and KQ be the generalised path algebra [10]. This paper gives a characterisation for the right and left modules over the path algebras of finite acyclic quiver. The study shows that the modules over such path algebras could be written as the decomposition of KQ-submodules. For KQ-modules over path algebras of quiver with countably many vertices, a sequence of KQ-submodules is identified which in finite case is a composition series.	en_US
dc.language.iso	en	en_US
dc.publisher	Palestine Journal of Mathematics	en_US
dc.subject	Quiver	en_US
dc.subject	Path algebra	en_US
dc.subject	Module	en_US
dc.subject	Simple module	en_US
dc.subject	Direct sum decomposition	en_US
dc.subject	Faithful module	en_US
dc.title	CHARACTERISATION OF MODULES OVER PATH ALGEBRA	en_US
dc.type	Article	en_US