Displaying similar documents to “Higher-dimensional field theory. II. Linear systems”

Squared cycles in monomial relations algebras

Brian Jue (2006)

Open Mathematics

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Let 𝕂 be an algebraically closed field. Consider a finite dimensional monomial relations algebra Λ = 𝕂 Γ 𝕂 Γ I I of finite global dimension, where Γ is a quiver and I an admissible ideal generated by a set of paths from the path algebra 𝕂 Γ . There are many modules over Λ which may be represented graphically by a tree with respect to a top element, of which the indecomposable projectives are the most natural example. These trees possess branches which correspond to right subpaths of cycles in the quiver....