Global dimension of a string algebra
arXiv:2607.11552
summary
The paper provides a combinatorial description of the global dimension of string algebras and gives a precise condition that determines when this global dimension is infinite.
Abstract
In this paper, we characterize the global dimension of a string algebra by using combinatorial methods. Moreover, we establish a necessary and sufficient condition for when the global dimension of a string algebra is infinite.
13 pages, to appear in Arch. Math. (Basel)
Topics & keywords
#string algebras#global dimension#homological algebra#combinatorial methods#infinite global dimensionglobal dimensionstring algebranecessary and sufficient conditionrepresentation theoryhomological invariants