TY  - JOUR
ID  - digilib37244
UR  - http://pphmj.com/journals/jpanta.htm
IS  - 5
A1  - Wardati, Khurul
N2  - A finite acyclic graph always contains a sink, a vertex that does not emit edges. Any sink at the graph will generate minimal basic ideal of the Leavitt path algebra over a commutative unital ring. Moreover, the Leavitt path algebra on the finite acyclic graph is a direct sum of minimal basic ideals generated by the sinks. In other words, Leavitt path algebra over the commutative unital ring on the finite acyclic graph is basically semisimple, but not necessarily semisimple. The Leavitt path algebra is semisimple if and only if the commutative unital ring is semisimple.
VL  - 39
TI  - ON SEMISIMPLE LEAVITT PATH ALGEBRAS
OVER A COMMUTATIVE UNITAL RING
AV  - public
EP  - 683
Y1  - 2017/10/01/
PB  - Pushpa Publishing House
JF  - JP Journal of Algebra, Number Theory and Applications
KW  - ON SEMISIMPLE
KW  -  LEAVITT PATH ALGEBRAS
KW  - 
OVER A COMMUTATIVE UNITAL RING
SN  - 0972-5555
SP  - 671
ER  -