Overview

Back to top

Publications

_{Copyright Notice: Any articles made available for download are for personal use only. Any other use requires prior permission of the author and the copyright holder.}

| 2023 | 2022 | 2021 | 2020 | 2019 | 2017 | 2016 | 2015 |

2023

• Colazzo I, Jespers E, Kubat Ł, Antwerpen AV. (2023) Simple solutions of the Yang-Baxter equation. [PDF]
• Brzeziński T, Colazzo I, Doikou A, Vendramin L. (2023) Mini-Workshop: Skew Braces and the Yang–Baxter Equation, Oberwolfach Reports, volume 20, no. 1, pages 537-563, DOI:10.4171/owr/2023/9.
• Colazzo I, Jespers E, Kubat Ł, Van Antwerpen A, Verwimp C. (2023) Finite Idempotent Set-Theoretic Solutions of the Yang–Baxter Equation, International Mathematics Research Notices, volume 2024, no. 7, pages 5458-5489, DOI:10.1093/imrn/rnad183. [PDF]
• Colazzo I, Jespers E, Kubat Ł, Antwerpen AV. (2023) Structure algebras of finite set-theoretic solutions of the Yang--Baxter equation. [PDF]

2022

• Colazzo I, Jespers E, Kubat Ł, Antwerpen AV, Verwimp C. (2022) Finite idempotent set-theoretic solutions of the Yang--Baxter equation. [PDF]
• Colazzo I, Ferrara M, Trombetti M. (2022) On derived-indecomposable solutions of the Yang--Baxter equation.
• Colazzo I, Jespers E, Van Antwerpen A, Verwimp C. (2022) Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses, Journal of Algebra, volume 610, pages 409-462, DOI:10.1016/j.jalgebra.2022.07.019. [PDF]

2021

• Colazzo I, Jespers E, Antwerpen AV, Verwimp C. (2021) Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses, Journal of Algebra, volume 6, no. 0, pages 409-462. [PDF]
• Colazzo I. (2021) Skew braces and solutions of the Yang-Baxter equation, Hopf algebras and Galois module theory, 24th - 27th May 2021.
• Catino F, Colazzo I, Stefanelli P. (2021) Set-theoretic solutions to the Yang–Baxter equation and generalized semi-braces, Forum Mathematicum, volume 33, no. 3, pages 757-772, DOI:10.1515/forum-2020-0082. [PDF]
• Colazzo I, Van Antwerpen A. (2021) The algebraic structure of left semi-trusses, Journal of Pure and Applied Algebra, volume 225, no. 2, DOI:10.1016/j.jpaa.2020.106467.

2020

• Catino F, Colazzo I, Stefanelli P. (2020) Set-theoretic solutions to the Yang-Baxter equation and generalized semi-braces, DOI:10.48550/arxiv.2004.01606.
• Colazzo I, Jespers E, Kubat L. (2020) Set-theoretic solutions of the Pentagon Equation, DOI:10.48550/arxiv.2004.04028.
• Colazzo I, Jespers E, Kubat Ł. (2020) Set-Theoretic Solutions of the Pentagon Equation, Communications in Mathematical Physics, volume 380, no. 2, pages 1003-1024, DOI:10.1007/s00220-020-03862-6. [PDF]
• Catino F, Colazzo I, Stefanelli P. (2020) The matched product of set-theoretical solutions of the Yang-Baxter equation, Journal of Pure and Applied Algebra, volume 224, no. 3, pages 1173-1194, DOI:10.1016/j.jpaa.2019.07.012.
• Catino F, Colazzo I, Stefanelli P. (2020) The Matched Product of the Solutions to the Yang–Baxter Equation of Finite Order, Mediterranean Journal of Mathematics, volume 17, no. 2, DOI:10.1007/s00009-020-1483-y.

2019

• Catino F, Colazzo I, Stefanelli P. (2019) The matched product of the solutions to the Yang-Baxter equation of finite order, DOI:10.48550/arxiv.1904.07557.
• Colazzo I, Van Antwerpen A. (2019) The algebraic structure of left semi-trusses, DOI:10.48550/arxiv.1908.11744.
• Catino F, Colazzo I, Stefanelli P. (2019) The matched product of set-theoretical solutions associated with shelves. [PDF]
• Colazzo I. (2019) Braces: between regular subgroups and solutions of the Yang-Baxter equation, 1st workshop Algebra for Cryptography, L'aquila (italy), 10th - 11th Oct 2019.
• Colazzo I. (2019) The matched product of shelves, Advances in Group Theory and Applications 2019, Lecce (italy), 25th - 28th Jun 2019.
• Catino F, Colazzo I, Stefanelli P. (2019) Skew left braces with non-trivial annihilator, Journal of Algebra and its Applications, volume 18, no. 2, DOI:10.1142/S0219498819500336.

2017

• Catino F, Colazzo I, Stefanelli P. (2017) Semi-braces and the Yang–Baxter equation, Journal of Algebra, volume 483, pages 163-187, DOI:10.1016/j.jalgebra.2017.03.035.

2016

• Catino F, Colazzo I, Stefanelli P. (2016) Regular subgroups of the affine group and asymmetric product of radical braces, Journal of Algebra, volume 455, pages 164-182, DOI:10.1016/j.jalgebra.2016.01.038.

2015

• Catino F, Colazzo I, Stefanelli P. (2015) On regular subgroups of the affine group, Bulletin of the Australian Mathematical Society, volume 91, no. 1, pages 76-85, DOI:10.1017/S000497271400077X.

Back to top