Factorization of Ideals in Leavitt Path algebras
Abstract
After pointing out how ideals in a Leavitt path algebra L of a graph E behave like ideals in a commutative ring, we shall consider the question of factorizing an arbitrary ideal I as a product of finitely many special type of ideals such as the prime, irreducible and primary ideals.In this context, factorization of graded ideals seem to influence the factorization of non-graded ideals. Examples illustrate our conclusions.
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CONFERENCIA Seminario de Álgebra Facultad de Ciencias Miércoles 3 de abril de 2017 A las 12:30 TITLE: Factorization of Ideals in Leavitt Path algebras AUTHOR: Kulumani M. Rangaswamy, University of Colorado, Colorado Springs, USA ABSTRACT: After pointing out how ideals in a Leavitt path algebra L of a graph E behave like ideals in a commutative ring, we shall consider the question of factorizing an arbitrary ideal I as a product of finitely many special type of ideals such as the prime, irreducible and primary ideals.In this context, factorization of graded ideals seem to influence the factorization of non-graded ideals. Examples illustrate our conclusions.