Quotients of Leavitt path algebras over rings by I-basic graded ideals
Abstract
In this paper, the quotient of a Leavitt path algebra of an arbitrary graph by an I-basic graded ideal, and the quotient of a Leavitt path algebra of a row-finite graph by an arbitrary graded ideal are considered. The result of the quotient of a Leavitt path algebra by an arbitrary graded ideal is extended by using the function . Examples are given to illustrate the results.
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