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Realizing corners of Leavitt path algebras as Steinberg algebras, with corresponding connections to graph C⁎-algebras

• Authors : Mikhailo Dokuchaev; T. G. Nam; Gene Abrams

Subjects: Algebra and Number Theory; 16S99, 05C25, 46L; Mathematics::Operator Algebras

• Source: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)Universidade de São Paulo (USP)instacron:USP

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A matrix viewpoint for various algebraic extensions

• Authors : Pham Ngoc Ánh; Gene Abrams

Subjects: Pure mathematics; Matrix (mathematics); Algebraic number

• Source: Elemente der Mathematik. 76:115-131

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Corners of Leavitt path algebras of finite graphs are Leavitt path algebras

• Authors : T. G. Nam; Gene Abrams

Subjects: Vertex (graph theory); Algebra and Number Theory; Mathematics::Operator Algebras

• Source: Journal of Algebra. 547:494-518

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Products of ideals in Leavitt path algebras

• Authors : Zachary Mesyan; Kulumani M. Rangaswamy; Gene Abrams

Subjects: Path (topology); Pure mathematics; Algebra and Number Theory

• Source: Communications in Algebra. 48:1853-1871

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Injective modules over the Jacobson algebra K< X,Y | XY=1 >

• Authors : Alberto Tonolo; Gene Abrams; Francesca Mantese

Subjects: Path (topology); General Mathematics; 010102 general mathematics

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Chains of semiprime and prime ideals in Leavitt path algebras

• Authors : Gene Abrams; Kulumani M. Rangaswamy; Zachary Mesyan

Subjects: Path (topology); Pure mathematics; Conjecture

• Source: Advances in Rings and Modules. :1-16

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Prüfer modules over Leavitt path algebras

• Authors : Francesca Mantese; Gene Abrams; Alberto Tonolo

Subjects: Injective modules; Field (mathematics); Chen simple module

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Leavitt path algebras are Bézout

• Authors : Francesca Mantese; Gene Abrams; Alberto Tonolo

Subjects: Leavitt path algebras; General Mathematics; Field (mathematics)

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Leavitt path algebras: the first decade

• Authors : Gene Abrams

Subjects: Path (topology); Pure mathematics; Ring (mathematics)

• Source: Bulletin of Mathematical Sciences. 5:59-120

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The Leavitt Path Algebras of Generalized Cayley Graphs

• Authors : Gene Abrams; Gonzalo Aranda Pino

Subjects: Path (topology); Fibonacci number; Cayley graph

• Source: Mediterranean Journal of Mathematics. 13:1-27

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On prime nonprimitive von Neumann regular algebras

• Authors : Gene Abrams; Jason P. Bell; Kulumani M. Rangaswamy

Subjects: Discrete mathematics; Mathematics::Operator Algebras; Applied Mathematics

• Source: Transactions of the American Mathematical Society. 366:2375-2392

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Leavitt path algebras having Unbounded Generating Number

• Authors : N. T. Phuc; Gene Abrams; T. G. Nam

Subjects: Pure mathematics; Algebra and Number Theory; Hermite polynomials

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Simple Lie algebras arising from Leavitt path algebras

• Authors : Zachary Mesyan; Gene Abrams

Subjects: 16D30, 16S99, 17B60; Discrete mathematics; Pure mathematics

• Source: Journal of Pure and Applied Algebra. 216(10):2302-2313

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Realizing posets as prime spectra of Leavitt path algebras

• Authors : Zachary Mesyan; G. Aranda Pino; Christopher Smith

Subjects: Discrete mathematics; Algebra and Number Theory; Mathematics::Number Theory

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WHAT IS...a Leavitt path algebra?

• Authors : Gene Abrams

Subjects: Algebra; 010201 computation theory & mathematics; General Mathematics

• Source: Notices of the American Mathematical Society. 63:910-911

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The socle series of a Leavitt path algebra

• Authors : Kulumani M. Rangaswamy; Gene Abrams; Mercedes Siles Molina

Subjects: Discrete mathematics; 16S99, 16D60, 46L89; Mathematics::Operator Algebras

• Source: Israel Journal of Mathematics. 184:413-435

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Flow invariants in the classification of Leavitt path algebras

• Authors : A. Louly; Gene Abrams; Christopher Smith ...

Subjects: Path (topology); Pure mathematics; Algebra and Number Theory

• Source: Journal of Algebra 333 (2011), 202-231RODIN. Repositorio de Objetos de Docencia e Investigación de la Universidad de Cádizinstname

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The matrix type of purely infinite simple Leavitt path algebras

• Authors : Gene Abrams; Christopher Smith

Subjects: Discrete mathematics; Path (topology); 16S50

• Source: Acta Mathematica Hungarica. 128:381-385

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Regularity Conditions for Arbitrary Leavitt Path Algebras

• Authors : Kulumani M. Rangaswamy; Gene Abrams

Subjects: Combinatorics; Discrete mathematics; symbols.namesake

• Source: Algebras and Representation Theory. 13:319-334

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Extensions of simple modules over Leavitt path algebras

• Authors : Francesca Mantese; Alberto Tonolo; Gene Abrams

Subjects: Algebra and Number Theory; Leavitt path algebras, modules, extension; Leavitt path algebras

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The classification question for Leavitt path algebras

• Authors : Enrique Pardo; A. Louly; Gene Abrams ...

Subjects: Path (topology); Pure mathematics; Algebra and Number Theory

• Source: Journal of Algebra 320 (2008), 1983-2026RODIN. Repositorio de Objetos de Docencia e Investigación de la Universidad de Cádizinstname

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Finite-dimensional Leavitt path algebras

• Authors : G. Aranda Pino; Gene Abrams; M. Siles Molina

Subjects: Discrete mathematics; Combinatorics; Algebra and Number Theory

• Source: Journal of Pure and Applied Algebra. 209:753-762

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The prime spectrum and primitive ideal space of a graph C*-algebra

• Authors : Mark Tomforde; Gene Abrams

Subjects: Combinatorics; Algebra; Associated prime

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Invariant Basis Number and Types for Strongly Graded Rings

• Authors : Gene Abrams

Subjects: Discrete mathematics; type of a ring; Algebra and Number Theory

• Source: Journal of Algebra. 237(1):32-37

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Cohn path algebras have Invariant Basis Number

• Authors : Müge Kanuni; Gene Abrams

Subjects: Discrete mathematics; Algebra and Number Theory; Property (philosophy)

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