TWO-SIDED IDEALS IN LEAVITT PATH ALGEBRAS
2011 ◽
Vol 10
(05)
◽
pp. 801-809
◽
Keyword(s):
We explicitly describe two-sided ideals in Leavitt path algebras associated with a row-finite graph. Our main result is that any two-sided ideal I of a Leavitt path algebra associated with a row-finite graph is generated by elements of the form [Formula: see text], where g is a cycle based at vertex v. We use this result to show that a Leavitt path algebra is two-sided Noetherian if and only if the ascending chain condition holds for hereditary and saturated closures of the subsets of the vertices of the row-finite graph E.
2017 ◽
Vol 16
(05)
◽
pp. 1750090
◽
Keyword(s):
2019 ◽
Vol 18
(05)
◽
pp. 1950086
◽
Keyword(s):
2019 ◽
Vol 18
(08)
◽
pp. 1950154
Keyword(s):
Keyword(s):
2019 ◽
Vol 19
(09)
◽
pp. 2050165
◽
Keyword(s):
2016 ◽
Vol 15
(05)
◽
pp. 1650084
◽
Keyword(s):