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Leavitt path algebras are Bézout

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المؤلفون: Francesca Mantese; Gene Abrams; Alberto Tonolo
الموضوع:
Leavitt path algebras; General Mathematics; Field (mathematics); Leavitt path algebra; 01 natural sciences; Combinatorics; Leavitt path algebra, one-sided ideal, Bézout ring; 0103 physical sciences; bezout property; Ideal (ring theory); Finitely-generated abelian group; 0101 mathematics; Algebra over a field; Mathematics; Ring (mathematics); Mathematics::Commutative Algebra; Mathematics::Rings and Algebras; 010102 general mathematics; one-sided ideal; Directed graph; Bézout ring; Leavitt path algebras, principal ideals, bezout property; principal ideals; Path algebra; Path (graph theory); 010307 mathematical physics
اللغة:
English
الدخول الالكتروني :
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0c6bf8fa8cc820e865e736ab5412dda
http://hdl.handle.net/11577/3286326

معلومة اضافية
- الموضوع:
  2018
- نبذة مختصرة :
  Let E be a directed graph, K any field, and let LK(E) denote the Leavitt path algebra of E with coefficients in K. We show that LK(E) is a Bezout ring, i.e., that every finitely generated one-sided ideal of LK(E) is principal.
- Rights:
  OPEN
- الرقم المعرف:
  edsair.doi.dedup.....c0c6bf8fa8cc820e865e736ab5412dda

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