Existence of maximal ideals in Leavitt path algebras
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Dosyalar
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Scientific Technical Research Council Turkey-Tubitak
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Let E be an arbitrary directed graph and let L be the Leavitt path algebra of the graph E over a field K. The necessary and sufficient conditions are given to assure the existence of a maximal ideal in L and also the necessary and sufficient conditions on the graph that assure that every ideal is contained in a maximal ideal are given. It is shown that if a maximal ideal M of L is nongraded, then the largest graded ideal in M, namely gr(M), is also maximal among the graded ideals of L. Moreover, if L has a unique maximal ideal M, then M must be a graded ideal. The necessary and sufficient conditions on the graph for which every maximal ideal is graded are discussed.
Açıklama
Kanuni, Muge/0000-0001-7436-039X; ESIN, SONGUL/0000-0002-1480-4566
WOS: 000447946800001
WOS: 000447946800001
Anahtar Kelimeler
Leavitt path algebras, arbitrary graphs, maximal ideals
Kaynak
Turkish Journal Of Mathematics
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
42
Sayı
5
