Idempotents, and finitely generated projective modules

Gene Abrams; Pere Ara; Mercedes Siles Molina

doi:10.1007/978-1-4471-7344-1_3

Idempotents, and finitely generated projective modules

Gene Abrams, Pere Ara, Mercedes Siles Molina

Research output: Chapter in Book › Chapter › Research › peer-review

2 Citations (Scopus)

Abstract

© Springer-Verlag London Ltd. 2017. The richness of the idempotent structure of Leavitt path algebras lies at the heart of the subject; in this chapter we present a number of topics which fall under this umbrella. These include: the purely infinite property (for both simple and non-simple algebras); the structure of the monoid of finitely generated projective modules; the exchange property; von Neumann regularity; and primitive idempotents.

Original language	English
Title of host publication	Lecture Notes in Mathematics
Pages	103-150
Number of pages	47
Volume	2191
DOIs	https://doi.org/10.1007/978-1-4471-7344-1_3
Publication status	Published - 1 Jan 2017

Access to Document

10.1007/978-1-4471-7344-1_3

Cite this

@inbook{09faa081d98b4bc19ac872b7cc5c0a7a,

title = "Idempotents, and finitely generated projective modules",

abstract = "{\textcopyright} Springer-Verlag London Ltd. 2017. The richness of the idempotent structure of Leavitt path algebras lies at the heart of the subject; in this chapter we present a number of topics which fall under this umbrella. These include: the purely infinite property (for both simple and non-simple algebras); the structure of the monoid of finitely generated projective modules; the exchange property; von Neumann regularity; and primitive idempotents.",

author = "Gene Abrams and Pere Ara and {Siles Molina}, Mercedes",

year = "2017",

month = jan,

day = "1",

doi = "10.1007/978-1-4471-7344-1_3",

language = "English",

isbn = "0075-8434",

volume = "2191",

pages = "103--150",

booktitle = "Lecture Notes in Mathematics",

}

TY - CHAP

T1 - Idempotents, and finitely generated projective modules

AU - Abrams, Gene

AU - Ara, Pere

AU - Siles Molina, Mercedes

PY - 2017/1/1

Y1 - 2017/1/1

N2 - © Springer-Verlag London Ltd. 2017. The richness of the idempotent structure of Leavitt path algebras lies at the heart of the subject; in this chapter we present a number of topics which fall under this umbrella. These include: the purely infinite property (for both simple and non-simple algebras); the structure of the monoid of finitely generated projective modules; the exchange property; von Neumann regularity; and primitive idempotents.

AB - © Springer-Verlag London Ltd. 2017. The richness of the idempotent structure of Leavitt path algebras lies at the heart of the subject; in this chapter we present a number of topics which fall under this umbrella. These include: the purely infinite property (for both simple and non-simple algebras); the structure of the monoid of finitely generated projective modules; the exchange property; von Neumann regularity; and primitive idempotents.

U2 - 10.1007/978-1-4471-7344-1_3

DO - 10.1007/978-1-4471-7344-1_3

M3 - Chapter

SN - 0075-8434

VL - 2191

SP - 103

EP - 150

BT - Lecture Notes in Mathematics

ER -

Idempotents, and finitely generated projective modules

Abstract

Access to Document

Fingerprint

Cite this