Cohn-Leavitt path algebras and the invariant basis number property

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Küçük Resim

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

World Scientific Publ Co Pte Ltd

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

We give the necessary and sufficient condition for a separated Cohn-Leavitt path algebra of a finite digraph to have Invariant Basis Number (IBN). As a consequence, separated Cohn path algebras have IBN. We determine the non-stable K-theory of a corner ring in terms of the non-stable K-theory of the ambient ring. We give a necessary condition for a corner algebra of a separated Cohn-Leavitt path algebra of a finite graph to have IBN. We provide Morita equivalent rings which are non-IBN, but are of different types.

Açıklama

Kanuni, Muge/0000-0001-7436-039X
WOS: 000469079500007

Anahtar Kelimeler

Cohn-Leavitt path algebra, invariant basis number, Morita equivalence

Kaynak

Journal Of Algebra And Its Applications

WoS Q Değeri

Q3

Scopus Q Değeri

Q2

Cilt

18

Sayı

5

Künye