The Path Algebra as a Left Adjoint Functor
Sign Up to like & getrecommendations! Published in 2018 at "Algebras and Representation Theory"
DOI: 10.1007/s10468-018-9836-y
Abstract: We consider an intermediate category between the category of finite quivers and a certain category of pseudocompact associative algebras whose objects include all pointed finite dimensional algebras. We define the completed path algebra and the… read more here.
Keywords: adjoint functor; algebra left; path; left adjoint ... See more keywords
Realizing corners of Leavitt path algebras as Steinberg algebras, with corresponding connections to graph C⁎-algebras
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2021.11.004
Abstract: We show that the endomorphism ring of any nonzero finitely generated projective module over the Leavitt path algebra $L_K(E)$ of an arbitrary graph $E$ with coefficients in a field $K$ is isomorphic to a Steinberg… read more here.
Keywords: algebra; leavitt path; graph; isomorphic steinberg ... See more keywords