Unit elements in the path algebra of an acyclic quiver

dc.contributor.author	Karthika, S
dc.contributor.author	Viji, M
dc.date.accessioned	2022-02-18T04:15:00Z
dc.date.available	2022-02-18T04:15:00Z
dc.date.issued	2021-06-10
dc.identifier.citation	TY - JOUR AU - Karthika, S. AU - Viji, M. PY - 2021 DA - 2021/03/01 TI - Unit elements in the path algebra of an acyclic quiver JO - Indian Journal of Pure and Applied Mathematics SP - 138 EP - 140 VL - 52 IS - 1 AB	en_US
dc.identifier.other	10.1007/s13226-021-00069-w
dc.identifier.uri	http://starc.stthomas.ac.in:8080/xmlui/xmlui/handle/123456789/62
dc.description.abstract	We investigate the algebraic properties of a particular non- commutative algebra, the path algebra, associated with a quiver. Quiver was initially introduced by Peter Gabriel. In this paper, we obtain a characterization for the invertibility of an element in the path algebra of an acyclic quiver. The study is an extension of the invertibility condition in a unique path quiver to acyclic quivers.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer	en_US
dc.subject	Acyclic quiver	en_US
dc.subject	Path algebra	en_US
dc.subject	Unit element	en_US
dc.title	Unit elements in the path algebra of an acyclic quiver	en_US
dc.type	Article	en_US