Rings of quotients of incidence algebras and path algebras

Eduardo Ortega Esparza

doi:10.1016/j.jalgebra.2006.05.019

Rings of quotients of incidence algebras and path algebras

Eduardo Ortega Esparza

Departament de Matemàtiques

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

10 Cites (Scopus)

Resum

We compute the maximal right/left/symmetric rings of quotients of finite-dimensional incidence and graph algebras. We show that these rings of quotients are Morita equivalent to incidence algebras and path algebras, respectively, with respect to simpler, well determined partially ordered sets and finite quivers, respectively. © 2006 Elsevier Inc. All rights reserved.

Idioma original	Anglès
Pàgines (de-a)	225-243
Revista	Journal of Algebra
Volum	303
Número	1
DOIs	https://doi.org/10.1016/j.jalgebra.2006.05.019 https://doi.org/10.1016/j.algebra.2006.05.019
Estat de la publicació	Publicada - 1 de set. 2006

Accés al document

Com citar-ho

@article{b770bec3db8e46fdadf7e3a7761f20a0,

title = "Rings of quotients of incidence algebras and path algebras",

abstract = "We compute the maximal right/left/symmetric rings of quotients of finite-dimensional incidence and graph algebras. We show that these rings of quotients are Morita equivalent to incidence algebras and path algebras, respectively, with respect to simpler, well determined partially ordered sets and finite quivers, respectively. {\textcopyright} 2006 Elsevier Inc. All rights reserved.",

keywords = "Incidence algebra, Path algebra, Rings of quotients",

author = "{Ortega Esparza}, Eduardo",

year = "2006",

month = sep,

day = "1",

doi = "10.1016/j.jalgebra.2006.05.019",

language = "English",

volume = "303",

pages = "225--243",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Rings of quotients of incidence algebras and path algebras

AU - Ortega Esparza, Eduardo

PY - 2006/9/1

Y1 - 2006/9/1

N2 - We compute the maximal right/left/symmetric rings of quotients of finite-dimensional incidence and graph algebras. We show that these rings of quotients are Morita equivalent to incidence algebras and path algebras, respectively, with respect to simpler, well determined partially ordered sets and finite quivers, respectively. © 2006 Elsevier Inc. All rights reserved.

AB - We compute the maximal right/left/symmetric rings of quotients of finite-dimensional incidence and graph algebras. We show that these rings of quotients are Morita equivalent to incidence algebras and path algebras, respectively, with respect to simpler, well determined partially ordered sets and finite quivers, respectively. © 2006 Elsevier Inc. All rights reserved.

KW - Incidence algebra

KW - Path algebra

KW - Rings of quotients

U2 - 10.1016/j.jalgebra.2006.05.019

DO - 10.1016/j.jalgebra.2006.05.019

M3 - Article

SN - 0021-8693

VL - 303

SP - 225

EP - 243

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

Rings of quotients of incidence algebras and path algebras

Resum

Accés al document

Fingerprint

Com citar-ho