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

2018/08/12 by Roozbeh Hazrat, Hazrat, Roozbeh, Kulumani M. Rangaswamy +3
Mathematics · #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.1808.03905

arXiv admin note: substantial text overlap with arXiv:1705.09217

arxiv created 2018/08/12 · arxiv updated 2018/08/21

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 Σ-V Leavitt path algebras.

Citations

• Leavitt path algebras: Graded direct-finiteness and graded Σ-injective simple modules

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