6 citations · 10 across the 6 of their papers we have counts for
6 papers
The Fox algebra, Localization and factorizations of free polynomials
Pham Ngoc Anh
We discuss interrelations between: Cohn localizations of full square matrices; a Leavitt localization of a row; and the Jacobson quasi-inverses of quasi-regular elements. The latte…
Non-commutative factorizations and finite-dimensional representations of free algebras
Pham Ngoc Ánh, Francesca Mantese
A very first step to develop non-commutative algebraic geometry is the arithmetic of polynomials in non-commuting variables over a commutative field, that is, the study of elements…
Leavitt Path Algebras as Flat Bimorphic Localizations
Pham Ngoc Anh, Michael Frank Siddoway
Refining an idea of Rosenmann and Rosset we show that the now widely studied classical Leavitt algebra over a field is a ring of right quotients of the unital free a…
Irreducible representation-types of Leavitt path algebras
P. N. Anh, T. G. Nam
Irreducible representations of both Leavitt and Cohn path algebras of an arbitrary digraph with coefficients in a commutative field is classified. They are constructed in several w…
The classification question for Leavitt path algebras
G. Abrams, P. N. Ánh, A. Louly +1
We prove an algebraic version of the Gauge-Invariant Uniqueness Theorem, a result which gives information about the injectivity of certain homomorphisms between -grade…
Isomorphisms between Leavitt algebras and their matrix rings
G. Abrams, P. N. ánh, E. Pardo
Let be any field, let denote the Leavitt algebra of type having coefficients in , and let denote the ring of matrices over $L_n…