Combinatorial methods in noncommutative ring theory (COIMBRA)

Research output

Research output per year 2014 2014 2015 2017 2018 2021

• 24 Article
• 2 Working paper

Research output per year

Research output per year

Search results

• 2021

  On skew braces and their ideals

  Konovalov, A., Smoktunowicz, A. & Vendramin, L., 31 Mar 2021, In: Experimental mathematics. 30, 1, p. 95-104

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Prime Ideal 100%
  • Wedderburn 100%
  • Solvability 100%
  • Baer 100%
• 2020

  Combinatorial solutions to the reflection equation

  Smoktunowicz, A., Vendramin, L. & Weston, R., 1 May 2020, In: Journal of Algebra. 549, p. 268-290

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Theoretic Method 100%
• 2019

  Skew Left Braces of Nilpotent Type

  Cedo, F., Smoktunowicz, A. & Vendramin, L., Jun 2019, In: Proceedings of the London Mathematical Society. 118, 6, p. 1367-1392

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Nilpotent 100%
  • Left Ideal 50%
  • Yang-Baxter Equation 50%
  • Related Result 50%

• Five solved problems on radicals of Ore extensions

  Greenfeld, B., Smoktunowicz, A. & Ziembowski, M., 2019, In: Publicacions Matemàtiques. 63, 2, p. 423-444 17 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Open Question 100%
  • Nilpotent 100%
  • Differential Polynomial 100%
  • Skew Polynomial Ring 66%
  • Power Series 33%
• 2018

  Braces and symmetric groups with special conditions

  Cedo, F., Gateva-Ivanova, T. & Smoktunowicz, A., Dec 2018, In: Journal of pure and applied algebra. 222, 12, p. 3877-3890

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Jacobson Radical 100%
  • Symmetric Group 100%
  • Nontrivial Solution 100%

• On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation

  Smoktunowicz, A., Sept 2018, In: Transactions of the American Mathematical Society. 370, 9, p. 6535-6564 38 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Nilpotent 100%
  • Yang-Baxter Equation 100%
  • Adjoint Group 100%
  • Engel Group 100%
  • Arbitrary Field 25%

• Division algebras with left algebraic commutators

  Aghabali, M., Akbari, S. & Bien, M. H., Aug 2018, In: Algebras and Representation Theory. 21, 4, p. 807-816

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Division Algebra 100%
  • Commutator 100%
  • Polynomial 33%
  • Multiplicative 16%
  • Multiplicative Group 16%

• Set-theoretic solutions of the Yang-Baxter equation and new classes of R-matrices

  Smoktunowicz, A. & Smoktunowicz, A., 1 Jun 2018, In: Linear algebra and its applications. 546, p. 86-114 29 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Matrix 100%
  • Yang-Baxter Equation 100%
  • Linear Algebra 12%
  • Singular Value 12%
  • Degenerate Solution 12%

• A note on set-theoretic solutions of the Yang-Baxter equation

  Smoktunowicz, A., 15 Apr 2018, In: Journal of Algebra. 500, p. 3-18 16 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Odd Number 100%

• Some notes on Lie ideals in division rings

  Aghabali, M., Ariannejad, M. & Madadi, A., Mar 2018, In: Journal of algebra and its applications. 17, 03, 6 p., 1850049.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Division Ring 100%
  • Z-Module 100%
  • Division Algebra 50%
  • Lie Product 50%
  • Commutator Subgroup 50%

• On Skew Braces (with an appendix by N. Byott and L. Vendramin)

  Smoktunowicz, A. & Vendramin, L., Feb 2018, In: Journal of Combinatorial Algebra. 2, 1, p. 47-86 37 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Near-Ring 100%

• Golod-Shafarevich-Type Theorems and Potential Algebras

  Smoktunowicz, A. & Iyudu, N., 12 Jan 2018, In: International Mathematics Research Notices. 23 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Polynomial 100%
  • Complete Classification 100%
  • Finiteness 100%
  • Resolution Of Singularities 100%
• 2017

  Certain Simple Maximal Subfields in Division Rings

  Aghabali, M. & Bien, M. H., 28 Aug 2017, ArXiv, 6 p.

  Research output: Working paper

  • Division Ring 100%
  • Positive Integer 50%
  • Multiplicative 50%

• Remarks on Vector Space Generated by the Multiplicative Commutators of a Division Ring

  Aghabali, M. & Tajfirouz, Z., 3 Jul 2017, ArXiv, 3 p.

  Research output: Working paper

  File

  • Multiplicative 100%
  • Division Ring 100%
  • Vector Space 100%
  • Commutator 100%

• How far can we go with Amitsur's conjecture in differential polynomial rings?

  Smoktunowicz, A., 12 May 2017, In: Israel journal of mathematics. 219, 2, p. 555-608 47 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Polynomial 100%
  • Nil 100%
  • Differential Polynomial 100%
  • Matrix 50%
  • Algebra over a Field 50%

• On the Yang-Baxter equation and left nilpotent left braces

  Smoktunowicz, A., Cedo, F. & Gateva-Ivanova, T., Apr 2017, In: Journal of pure and applied algebra. 221, 4, p. 751-756 6 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Nilpotent 100%
  • Yang-Baxter Equation 100%
  • Engel Group 100%
  • Nontrivial Solution 50%
  • Finite Solution 50%

• Order of the largest Sachs subgraphs in graphs

  Aghabali, M., Akbari, S. & Tajfirouz, Z., 2017, In: Linear and Multilinear Algebra. 65, 1, p. 204-209 5 p.

  Research output: Contribution to journal › Article › peer-review

  • Adjacency Matrix 100%
  • Line Graph 100%
• 2015

  The proof of the Kontsevich periodicity conjecture on noncommutative birational transformations

  Iyudu, N. & Shkarin, S., 5 Oct 2015, In: Duke Mathematical Journal. 164, 13, p. 2539-2575

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Matrix 100%
  • Diagonalmatrix 33%
  • Diagonal 33%
  • Modulo 33%
  • Unital Ring 33%

• The three-term recursion for Chebyshev polynomials is mixed forward-backward stable

  Smoktunowicz, A., Smoktunowicz, A. & Pawelec, E., 1 Aug 2015, In: Numerical Algorithms. 69, 4, p. 785-794 10 p.

  Research output: Contribution to journal › Article › peer-review

  • Chebyshev Polynomial 100%
  • Error Analysis 33%
  • Computed Value 33%
  • Lower and upper bounds 33%
  • Numerical Example 33%

• Chains of Prime Ideals and Primitivity of ℤ -Graded Algebras

  Greenfeld, B., Leroy, A., Smoktunowicz, A. & Ziembowski, M., 1 Jun 2015, In: Algebras and Representation Theory. 18, 3, p. 777-800 24 p.

  Research output: Contribution to journal › Article › peer-review

  • Prime Ideal 100%
  • Graded Algebra 100%
  • Brown-McCoy Radical 100%
  • Tensor 50%

• Infinite dimensional, affine nil algebras A⊗A^op and A⊗A exist

  Smoktunowicz, A., 1 May 2015, In: Journal of pure and applied algebra. 219, 5, p. 1604-1638 35 p.

  Research output: Contribution to journal › Article › peer-review

  • Nil 100%
  • Algebraically Closed Field 50%
• 2014

  Growth, entropy and commutativity of algebras satisfying prescribed relations

  Smoktunowicz, A., Oct 2014, In: Selecta Mathematica (New Series). 20, 4, p. 1197-1212 16 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Growth Function 100%
  • Commutativity 100%
  • Defining Relation 100%
  • Polynomial 50%
  • Open Question 50%

• Differential polynomial rings over locally nilpotent rings need not be Jacobson radical

  Smoktunowicz, A. & Ziembowski, M., 15 Aug 2014, In: Journal of Algebra. 412, p. 207-217 11 p.

  Research output: Contribution to journal › Article › peer-review

  • Differential Polynomial 100%

• Optimal 5-step nilpotent quadratic algebras

  Iyudu, N. & Shkarin, S., 15 Aug 2014, In: Journal of Algebra. 412, p. 1-14 14 p.

  Research output: Contribution to journal › Article › peer-review

  • Nilpotent 100%
  • Quadratic Algebras 100%
  • Positive Integer 33%
  • Associative Algebra 33%
  • Perpendicularity 33%

• REPRESENTATION SPACES OF THE JORDAN PLANE

  Iyudu, N. K., 3 Aug 2014, In: Communications in Algebra. 42, 8, p. 3507-3540 34 p.

  Research output: Contribution to journal › Article › peer-review

  • Irreducibles 100%
  • Complete Intersection 100%

• A NOTE ON NIL AND JACOBSON RADICALS IN GRADED RINGS

  Smoktunowicz, A., Jun 2014, In: Journal of algebra and its applications. 13, 4, 8 p., 1350121.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Jacobson Radical 100%
  • Nil 100%
  • Graded Ring 100%
  • Analogous Result 14%