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

Roozbeh Hazrat; Kulumani M. Rangaswamy; Ashish K. Srivastava

doi:10.1090/conm/751/15083

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

Roozbeh Hazrat, Kulumani M. Rangaswamy, Ashish K. Srivastava

Research output: Chapter in Book / Conference Paper › Chapter

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.

Original language	English
Title of host publication	Categorical, Homological and Combinatorial Methods in Algebra
Editors	Ashish K. Srivastava, Andre Leroy, Ivo Herzog, Pedro A. Asensio
Place of Publication	U.S.
Publisher	American Mathematical Society
Pages	191-203
Number of pages	13
Volume	751
ISBN (Electronic)	9781470456085
ISBN (Print)	9781470443689
DOIs	https://doi.org/10.1090/conm/751/15083
Publication status	Published - 2020

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© 2020 American Mathematical Society.

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10.1090/conm/751/15083

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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.",

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Structure theory of graded regular graded self-injective rings and applications. / Hazrat, Roozbeh; Rangaswamy, Kulumani M.; Srivastava, Ashish K.
Categorical, Homological and Combinatorial Methods in Algebra. ed. / Ashish K. Srivastava; Andre Leroy; Ivo Herzog; Pedro A. Asensio. Vol. 751 U.S.: American Mathematical Society, 2020. p. 191-203.

Research output: Chapter in Book / Conference Paper › Chapter

TY - CHAP

T1 - Structure theory of graded regular graded self-injective rings and applications

AU - Hazrat, Roozbeh

AU - Rangaswamy, Kulumani M.

AU - Srivastava, Ashish K.

PY - 2020

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AB - 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.

UR - https://hdl.handle.net/1959.7/uws:67360

U2 - 10.1090/conm/751/15083

DO - 10.1090/conm/751/15083

M3 - Chapter

SN - 9781470443689

VL - 751

SP - 191

EP - 203

BT - Categorical, Homological and Combinatorial Methods in Algebra

A2 - Srivastava, Ashish K.

A2 - Leroy, Andre

A2 - Herzog, Ivo

A2 - Asensio, Pedro A.

PB - American Mathematical Society

CY - U.S.

ER -

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

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