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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… Click to show full abstract
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.
Keywords:
endomorphism rings;
leavitt path;
path algebras;
rings leavitt
Journal Title: Filomat
Year Published: 2018
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Journal Title: Filomat
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!