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Simpleness of Leavitt Path Algebras with...
Katsov, Yefim...

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Simpleness of Leavitt Path Algebras with Coefficients in a Commutative Semiring by Katsov, Yefim ( Author )
Lemonjar Open Access
Pyramid Books
10-07-2015
In this paper, we study ideal- and congruence-simpleness for the Leavitt path algebras of directed graphs with coefficients in a commutative semiring S, as well as establish some fundamental properties of those algebras. We provide a complete characterization of ideal-simple Leavitt path algebras with coefficients in a semifield S that extends the well-known characterizations when the ground semiring S is a field. Also, extending the well-known characterizations when S is a field or commutative ring, we present a complete characterization of congruence-simple Leavitt path algebras over row-finite graphs with coefficients in a commutative semiring S.
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English
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MYR 0.00
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https://arxiv.org/abs/1507.02913
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