On endomorphism rings of Leavitt path algebras
Keyword(s):
Let E be an arbitrary graph, K be any field and A be the endomorphism ring of L := LK(E) considered as a right L-module. Among the other results, we prove that: (1) if A is a von Neumann regular ring, then A is dependent if and only if for any two paths in L satisfying some conditions are initial of each other, (2) if A is dependent then LK(E) is morphic, (3) L is morphic and von Neumann regular if and only if L is semisimple and every homogeneous component is artinian.
1974 ◽
Vol 17
(2)
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pp. 283-284
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2007 ◽
Vol 06
(05)
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pp. 779-787
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2011 ◽
Vol 21
(05)
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pp. 745-762
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1972 ◽
Vol 32
(2)
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pp. 425-425
2010 ◽
Vol 52
(A)
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pp. 103-110
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2019 ◽
Vol 47
(7)
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pp. 2604-2616
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