Weekly Activities

Leavitt path algebras have cancellation of projective modules
Speaker: Tran Giang Nam

Time: 9h00, Wednesday, December 16, 2015

Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi

Abstract: In 2005, G. Abrams and G. Aranda-Pino introduced a class of algebras over fields, which they constructed from (directed) graphs and called Leavitt path algebras. In 2011, M. Tomforde  generalized the construction of Leavitt path algebras by replacing the field with a commutative ring. In this talk, we give a criterion for the Leavitt path algebra of a finite graph over a commutative regular ring of Krull dimension at most 1 has cancellation of projective modules.

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