Unit elements in the path algebra of an acyclic quiver

S. Karthika () and M. Viji ()
Additional contact information
S. Karthika: St.Thomas’ College
M. Viji: St.Thomas’ College

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 1, 138-140

Abstract: 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.

Keywords: Acyclic quiver; Path algebra; Unit element; 16U60 (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-021-00069-w Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:52:y:2021:i:1:d:10.1007_s13226-021-00069-w

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-021-00069-w

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().