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Decomposable Leavitt path algebras for arbitrary graphs
- Source :
- Forum Math. 27 (2015), 3509-3532
- Publication Year :
- 2016
-
Abstract
- For any field $K$ and for a completely arbitrary graph $E$, we characterize the Leavitt path algebras $L_K(E)$ that are indecomposable (as a direct sum of two-sided ideals) in terms of the underlying graph. When the algebra decomposes, it actually does so as a direct sum of Leavitt path algebras for some suitable graphs. Under certain finiteness conditions, a unique indecomposable decomposition exists.<br />Comment: Forum Math. (27)2015. arXiv admin note: text overlap with arXiv:1207.3466 by other authors
- Subjects :
- Mathematics - Rings and Algebras
16W99
Subjects
Details
- Database :
- arXiv
- Journal :
- Forum Math. 27 (2015), 3509-3532
- Publication Type :
- Report
- Accession number :
- edsarx.1603.04985
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1515/forum-2013-0165