Centers of path algebras, Cohn and Leavitt path algebras
Rings and Algebras
2013-12-06 v2
Abstract
We study the center of several types of path algebras. We start with the path algebra and prove that if the number of vertices is infinite then the center is zero. Otherwise, it coincides with the field except when the graph is a cycle in which case the center is , the polynomial algebra in one indeterminate. Then we compute the centers of prime Cohn and Leavitt path algebras. A lower and an upper bound for the center of a Leavitt path algebra are given by introducing the graded Baer radical for graded algebras.
Keywords
Cite
@article{arxiv.1209.4375,
title = {Centers of path algebras, Cohn and Leavitt path algebras},
author = {María Guadalupe Corrales García and Dolores Martín Barquero and Cándido Martín González and Mercedes Siles Molina and José Felix Solanilla Hernández},
journal= {arXiv preprint arXiv:1209.4375},
year = {2013}
}