Gene Abrams

Q: What Schools Are Affiliated With Gene Abrams

Gene Abrams is affiliated with the following schools: University of California, Berkeley, University of Oregon, University of Colorado Colorado Springs, Stanford University, University of Colorado

Gene Abrams's AcademicInfluence.com Rankings

Gene Abrams

Mathematics

#4680

World Rank

#6627

Historical Rank

Number Theory

#290

World Rank

#361

Historical Rank

Algebra

#309

World Rank

#433

Historical Rank

Measure Theory

#4645

World Rank

#5440

Historical Rank

mathematics Degrees

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Mathematics

Gene Abrams's Degrees

PhD Mathematics Stanford University
Masters Mathematics Stanford University
Bachelors Mathematics Stanford University

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Why Is Gene Abrams Influential?

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According to Wikipedia, Gene Abrams is an American mathematician and Professor of Mathematics at University of Colorado Colorado Springs. He works in the area of Algebra, and he earned his Ph.D. in mathematics at the University of Oregon in 1981. Abrams' research interests are in noncommutative rings and their categories of modules, and he is known for his contributions to Morita equivalence, particularly Morita equivalence for nonunital rings.

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Gene Abrams's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The Leavitt path algebra of a graph (2005) (390)
The Leavitt path algebras of arbitrary graphs (2008) (122)
Morita equivalence for rings with local units (1983) (88)
Purely infinite simple Leavitt path algebras (2005) (82)
Leavitt path algebras: the first decade (2014) (82)
Finite-dimensional Leavitt path algebras (2007) (77)
Chain conditions for Leavitt path algebras (2009) (69)
Isomorphism and Morita equivalence of graph algebras (2008) (68)
Regularity Conditions for Arbitrary Leavitt Path Algebras (2008) (67)
Flow invariants in the classification of Leavitt path algebras (2008) (63)
Locally finite Leavitt path algebras (2008) (52)
On prime nonprimitive von Neumann regular algebras (2011) (31)
The socle series of a Leavitt path algebra (2009) (26)
The classification question for Leavitt path algebras (2007) (25)
Isomorphisms between Leavitt algebras and their matrix rings (2006) (22)
Extensions of simple modules over Leavitt path algebras (2014) (19)
THE ISOMORPHISM PROBLEM FOR INCIDENCE RINGS (1999) (18)
Simple Lie algebras arising from Leavitt path algebras (2011) (17)
Leavitt path algebras having Unbounded Generating Number (2016) (14)
TWO-SIDED CHAIN CONDITIONS IN LEAVITT PATH ALGEBRAS OVER ARBITRARY GRAPHS (2012) (14)
The Leavitt Path Algebras of Generalized Cayley Graphs (2013) (14)
Cohn Path Algebras have Invariant Basis Number (2013) (13)
The Graph Menagerie: Abstract Algebra and the Mad Veterinarian (2010) (12)
Realization theorems for categories of graded modules over semigroup-graded rings (1994) (12)
Leavitt path algebras are Bézout (2016) (12)
Infinite matrix types which determine Morita equivalence (1986) (11)
The Dixmier-Moeglin Equivalence for Leavitt Path Algebras (2010) (10)
Methods in Module Theory (1992) (10)
Graph C∗-Algebras, and Their Relationship to Leavitt Path Algebras (2017) (10)
Group Gradings and Recovery Results for Generalized Incidence Rings (1994) (10)
On the Simplicity of Lie Algebras Associated to Leavitt Algebras (2009) (10)
Blending Online and Traditional Instruction in the Mathematics Classroom (2002) (9)
A Topological Approach to Morita Equivalence for Rings with Local Units (1992) (9)
Leavitt path algebras of Cayley graphs arising from cyclic groups (2013) (8)
A class of C*-algebras that are prime but not primitive (2013) (8)
Row-finite equivalents exist only for row-countable graphs (2009) (8)
S.H.O.W.M.E.: Spear-Heading Online Work in Mathematics Education (1998) (7)
Picard groups and infinite matrix rings (1998) (7)
Rings of Endomorphisms of Semigroup-Graded Modules (1996) (7)
SOME ULTRAMATRICIAL ALGEBRAS WHICH ARISE AS INTERSECTIONS OF LEAVITT ALGEBRAS (2002) (6)
Approximating Rings with Local Units Via Automorphisms (1999) (6)
Corners of Leavitt path algebras of finite graphs are Leavitt path algebras (2019) (6)
WHAT IS...a Leavitt path algebra (2016) (5)
EMBEDDING MODULES IN GRADED MODULES OVER A SEMIGROUP-GRADED RING (2001) (5)
Realizing posets as prime spectra of Leavitt path algebras (2015) (5)
Categorical equivalences and realization theorems (1996) (5)
Invariant Basis Number and Types for Strongly Graded Rings (2001) (5)
CORRECTIONS AND ADDENDA TO "THE ISOMORPHISM PROBLEM FOR INCIDENCE RINGS (2002) (5)
Prüfer modules over Leavitt path algebras (2017) (4)
F-rings need not be ∏-homogeneous (1989) (4)
Coinduction for semigroup-graded rings (1999) (4)
Chains of Semiprime and Prime Ideals in Leavitt Path Algebras (2017) (3)
The matrix type of purely infinite simple Leavitt path algebras (2009) (3)
Realizing corners of Leavitt path algebras as Steinberg algebras, with corresponding connections to graph C⁎-algebras (2019) (3)
Number-Theoretic Conditions Which Yield Isomorphisms and Equivalences Between Matrix Rings over Leavitt Algebras (2010) (3)
Non-induced isomorphisms of matrix rings (1997) (2)
On the existence of rings R with R isomorphic to RFM(R) (1987) (2)
Rings with local units (1981) (2)
The Dixmier-Moeglin Equivalence for Leavitt Path Algebras (2010) (2)
Products of ideals in Leavitt path algebras (2019) (2)
The Leavitt Path Algebras of Generalized Cayley Graphs (2014) (1)
Bounded Picard groups (1997) (1)
On dense subrings of RFM(R) (1987) (1)
The prime spectrum and primitive ideal space of a graph C*-algebra (2014) (1)
Injective modules over the Jacobson algebra $K\langle X, Y \ | \ XY=1\rangle $ (2020) (1)
The Basics of Leavitt Path Algebras: Motivations, Definitions and Examples (2017) (1)
Leavitt Path Algebras of Cayley Graphs $$C_n^j$$Cnj (2017) (1)
Duality theorems for finite semigroups (1996) (0)
R A ] 1 0 Fe b 20 19 CORNERS OF LEAVITT PATH ALGEBRAS OF FINITE GRAPHS ARE LEAVITT PATH ALGEBRAS (0)
Connections between abelian sandpile models and the K-theory of weighted Leavitt path algebras (2021) (0)
Primitive graph algebras (2013) (0)
On prime spectra of Leavitt path algebras (2015) (0)
Two-Sided Ideals (2017) (0)
CHAIN CONDITIONS FOR LEAVITT PATH (2007) (0)
Generalizations, Applications, and Current Lines of Research (2017) (0)
General Ring-Theoretic Results (2017) (0)
Idempotents, and Finitely Generated Projective Modules (2017) (0)
Leavitt Path Algebras of Cayley Graphs Cnj\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C_n^j$$\end{document} (2018) (0)
A matrix viewpoint for various algebraic extensions (2021) (0)
Perfect Rings: A Local Approach (2005) (0)
Leavitt path algebras are Bézout (2018) (0)
Injective modules over the Jacobson algebra K (cid:104) X , Y | XY = 1 (cid:105) (2020) (0)
Morita equivalence for graded rings (2022) (0)
R A ] 3 1 M ar 2 01 6 LEAVITT PATH ALGEBRAS HAVING UNBOUNDED GENERATING NUMBER (0)
Row-finite equivalents exist only for graphs having no uncountable emitters (2009) (0)
2 1 Se p 20 05 Purely infinite simple Leavitt path algebras (2005) (0)
Injectives over Leavitt path algebras of graphs satisfying condition (AR) (2022) (0)

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Gene Abrams's Degrees

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Why Is Gene Abrams Influential?

Gene Abrams's Published Works

Published Works

Other Resources About Gene Abrams

What Schools Are Affiliated With Gene Abrams?

Gene Abrams's AcademicInfluence.com Rankings