Structure theory of graded regular graded self-injective rings and applications

Published 12 Aug 2018 in math.RA | (1808.03905v1)

Abstract: In this paper, we develop structure theory for graded regular graded self-injective rings and apply it in the context of Leavitt path algebras. We show that for a finite graph, graded regular graded self-injective Leavitt path algebras are of graded type I and these are precisely graded $\Sigma$-$V$ Leavitt path algebras.

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