Agata Smoktunowicz

Agata Smoktunowicz's AcademicInfluence.com Rankings

Agata Smoktunowicz

Mathematics

#2455

World Rank

#3791

Historical Rank

Algebra

#265

World Rank

#381

Historical Rank

Group Theory

#378

World Rank

#434

Historical Rank

Measure Theory

#4188

World Rank

#4934

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Agata Smoktunowicz's Degrees

PhD Mathematics University of Warsaw
Masters Mathematics University of Warsaw

Why Is Agata Smoktunowicz Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Agata Smoktunowicz FRSE is a Polish mathematician who works as a professor at the University of Edinburgh. Her research is in abstract algebra. Contributions Smoktunowicz's contributions to mathematics include constructing noncommutative nil rings, solving a "famous problem" formulated in 1970 by Irving Kaplansky. She proved the Artin–Stafford gap conjecture according to which the Gelfand–Kirillov dimension of a graded domain cannot fall within the open interval . She also found an example of a nil ideal of a ring R that does not lift to a nil ideal of the polynomial ring R[X], disproving a conjecture of Amitsur and hinting that the Köthe conjecture might be false.

(See a Problem?)

Agata Smoktunowicz'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

ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS (2002) (271)
Polynomial Rings over Nil Rings Need Not Be Nil (2000) (123)
On skew braces (with an appendix by N. Byott and L. Vendramin) (2017) (121)
On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation (2015) (81)
Skew left braces of nilpotent type (2018) (56)
An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension (2005) (49)
Set-theoretic solutions of the Yang–Baxter equation and new classes of R-matrices (2017) (47)
A SIMPLE NIL RING EXISTS (2002) (38)
On maximal ideals and the brown-mccoy radical of polynomial rings (1998) (35)
On the Yang-Baxter equation and left nilpotent left braces (2016) (33)
A note on set-theoretic solutions of the Yang-Baxter equation (2015) (29)
A NOTE ON NIL AND JACOBSON RADICALS IN GRADED RINGS (2013) (27)
On skew braces and their ideals (2018) (26)
Nil algebras with restricted growth (2010) (20)
Some results in noncommutative ring theory (2006) (20)
Set-theoretic Yang–Baxter & reflection equations and quantum group symmetries (2020) (19)
Differential polynomial rings over locally nilpotent rings need not be Jacobson radical (2013) (19)
Braces and symmetric groups with special conditions (2017) (19)
IMAGES OF GOLOD-SHAFAREVICH ALGEBRAS WITH SMALL GROWTH (2011) (19)
A polynomial ring that is Jacobson radical and not nil (2001) (17)
The Jacobson radical of rings with nilpotent homogeneous elements (2008) (17)
There are no graded domains with GK dimension strictly between 2 and 3 (2006) (16)
From Braces to Hecke algebras & Quantum Groups (2019) (16)
Makar-Limanov's conjecture on free subalgebras ∗ (2009) (16)
On Primitive Ideals in Polynomial Rings over Nil Rings (2004) (14)
The prime spectrum of algebras of quadratic growth (2007) (14)
How far can we go with Amitsur’s theorem in differential polynomial rings? (2015) (12)
Growth, entropy and commutativity of algebras satisfying prescribed relations (2013) (12)
Algebraic approach to Rump’s results on relations between braces and pre-lie algebras (2020) (11)
On Primitive Ideals in Graded Rings (2008) (10)
Rings of differential operators on curves (2011) (9)
R[x, y] is Brown-McCoy Radical if R[x] is Jacobson Radical (2003) (9)
A new formula for Lazard's correspondence for finite braces and pre-Lie algebras (2020) (9)
Extended Centres of Finitely Generated Prime Algebras (2007) (8)
Centers in domains with quadratic growth (2005) (8)
On structure of domains with quadratic growth (2005) (8)
An affine prime non-semiprimitive monomial algebra with quadratic growth (2006) (8)
Golod-Shafarevich-Type Theorems and Potential Algebras (2017) (7)
Five solved problems on radicals of Ore extensions (2019) (7)
Jacobson radical algebras with Gelfand–Kirillov dimension two over countable fields (2007) (6)
Amitsur's Conjecture on Polynomial Rings in N Commuting Indeterminates (2002) (6)
On skew braces (2017) (6)
Combinatorial solutions to the reflection equation (2018) (6)
The Artin-Stafford gap theorem (2005) (6)
The nil radical of power series rings (1999) (5)
GK–DIMENSION OF ALGEBRAS WITH MANY GENERIC RELATIONS* (2009) (5)
Graded algebras associated to algebraic algebras need not be algebraic (2010) (4)
Chains of Prime Ideals and Primitivity of ℤ$\mathbb {Z}$-Graded Algebras (2015) (4)
On Radicals of Ore Extensions and Related Questions (2017) (4)
On the passage from finite braces to pre-Lie rings (2022) (4)
Golod-Shafarevich algebras, free subalgebras and Noetherian images (2012) (4)
Chains of Prime Ideals and Primitivity of Z -Graded Algebras (2015) (4)
Iterative refinement techniques for solving block linear systems of equations (2013) (4)
Jacobson radical non-nil algebras of Gel’fand-Kirillov dimension 2 (2013) (4)
Some Braces of Cardinality $p^{4}$ and Related Hopf-Galois Extensions (2021) (4)
A remark on Vapnik-Chervonienkis classes (1997) (3)
The three-term recursion for Chebyshev polynomials is mixed forward-backward stable (2015) (3)
Infinite dimensional, affine nil algebras A⊗A op and A⊗A exist (2015) (2)
From pre-Lie rings back to braces (2022) (2)
On a conjecture of Goodearl: Jacobson radical non-nil algebras of Gelfand-Kirillov dimension 2 (2011) (2)
Primitive algebraic algebras of polynomially bounded growth (2010) (2)
Infinitely dimensional, affine nil algebras $A\otimes A^{op}$ and $A\otimes A$ exist (2014) (2)
JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH (2013) (2)
Constructing graded algebras of limited growth satisfying prescribed relations (2013) (1)
On Engel groups and adjoint groups of nil rings (2015) (1)
On skew braces and their ideals (with an Appendix by Agata Smoktunowicz). (2020) (1)
From braces to pre-Lie rings (2022) (1)
A note on Golod-Shafarevich algebras (2012) (1)
GROWTH OF MODULES OVER GENERIC GOLOD-SHAFAREVICH-ALGEBRAS (2009) (1)
How far can we go with Amitsur's theorem? (2015) (1)
Old and new radicals, twisted ring extensions and related questions (2017) (0)
The three-term recursion for Chebyshev polynomials is mixed forward-backward stable (2014) (0)
Growth, entropy and commutativity of algebras satisfying prescribed relations (2014) (0)
Explorer Braces and symmetric groups with special conditions (2018) (0)
Edinburgh Research Explorer On skew braces and their ideals (2018) (0)
Numerical solutions and new classes of R-matrices (2017) (0)
How far can we go with Amitsur ' s conjecture in differential polynomial rings ? (2016) (0)
Erratum to the Paper “On Skew Braces and Their Ideals” (2021) (0)
Checkable Codes from Group Algebras to Group Rings (2015) (0)
On the accuracy and stability of algorithms most commonly used in the evaluation of Chebyshev polynomials of the first kind (2013) (0)
How far can we go with Amitsur’s theorem in differential polynomial rings? (2017) (0)
On the equation xn + (x + a)n = y2n + (y + b)2n (1995) (0)
Jacobson radical non-nil algebras of Gel’fand-Kirillov dimension 2 (2012) (0)
Rings of differential operators on curves (2012) (0)
R A ] 8 O ct 2 01 8 COMBINATORIAL SOLUTIONS TO THE REFLECTION EQUATION (2018) (0)

This paper list is powered by the following services:

Other Resources About Agata Smoktunowicz

en.wikipedia.org

What Schools Are Affiliated With Agata Smoktunowicz?

Agata Smoktunowicz is affiliated with the following schools:

Agata Smoktunowicz's Academic­Influence.com Rankings

Agata Smoktunowicz's Degrees

Why Is Agata Smoktunowicz Influential?

Agata Smoktunowicz's Published Works

Published Works

Other Resources About Agata Smoktunowicz

What Schools Are Affiliated With Agata Smoktunowicz?

Agata Smoktunowicz's AcademicInfluence.com Rankings