17 citations · 40 across the 13 of their papers we have counts for
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math.CO2011★ 6 cited
Injective Envelopes and Projective Covers of Quivers
Will Grilliette
This paper characterizes the injective and projective objects in the category of directed multigraphs, or quivers. Further, the injective envelope and projective cover of any quive…
math.CT2011
Universal Properties of Some Quivers
Will Grilliette
In this paper, I characterize four particular classes of directed multigraphs, or quivers, as images under left and right adjoints to the natural vertex and edge functors. In parti…
math.OA2011
The C*-algebra of a Single Invertible Element
Will Grilliette
This paper characterizes the unital C*-algebra generated by a single invertible element as the unital free product of C[0,1] and C(T). To do this, I develop techniques to split and…