Commutative and non-commutative ring and semigroup theory. Factorization theory. Commutative algebra.
L. Cossu, S. Tringali, On the arithmetic of power monoids, J. Algebra 686 (2026), 793--813. (published, arXiv:2503.08615)
L. Cossu, B. Olberding, Realization of spaces of commutative rings, J. London Math. Soc. 111 (2025), no. 5, paper no. e70175. (published, arXiv:2409.18207)
L. Cossu, Some applications of a new approach to factorization in M. Brešar et al. (eds.), Recent Progress in Ring and Factorization Theory, Springer Proceedings in Mathematics & Statistics 477 (2025), Springer, Cham, pp. 73--94. (published, arXiv:2312.08145)
L. Cossu, S. Tringali, On the finiteness of certain factorization invariants, Ark. Mat. 62 (2024), no. 1, pp. 21–38. (published, arXiv:2301.09961)
L. Cossu, S. Tringali, Factorization under Local Finiteness Conditions, J. Algebra 630 (2023), pp.128–161. (published, arXiv:2208.05869)
L. Cossu, S. Tringali, Abstract Factorization Theorems with Applications to Idempotent Factorizations, Israel J. Math. 263 (2024), pp. 349--395. (published, arXiv:2108.12379)
L. Cossu, Idempotent factorization of matrices over a Prüfer domain of rational functions, Le Matematiche 77 (2022), no. 1, pp. 33–45. (published, arXiv:2007.08831)
L. Cossu, P. Zanardo, Idempotent factorizations of singular 2x2 matrices over quadratic integer rings, Linear Multilinear Algebra 70 (2022), no. 2, pp. 297–309. (published, arXiv:1910.01893)
L. Cossu, P. Zanardo, PRINC domains and comaximal factorization domains, J. Algebra Appl. 19 (2020), no. 8, 2050156. (published, arXiv:1901.05241)
L. Cossu, P. Zanardo, Minimal Prüfer-Dress rings and products of idempotent matrices, Houston J. Math. 45 (2019), no. 4, pp. 979-994. (published, arXiv:1811.09092)
L. Cossu, P. Zanardo, Factorizations into idempotent factors of matrices over Prüfer domains, Comm. Algebra 47 (2019), pp. 1818–1828. (published, arXiv:1810.00639)
L. Cossu, P. Zanardo, U. Zannier, Products of elementary matrices and non-Euclidean principal ideal domains, J. Algebra 501 (2018), pp. 182–205. (published)
F. Campanini, L. Cossu, S. Tringali, The category of atomic monoids: universal constructions and arithmetic properties. (arXiv:2502.06610)
L. Cossu, Factorizations of invertible matrices into products of elementary matrices and of singular matrices into products of idempotent matrices, Ph.D thesis (2017). (pdf file)
N. Bogdanovic, L. Cossu, M. A. Khadam, Atoms in monoids of ideals.
L. Cossu, B. Olberding, G. Secreti, Structure of patch algebras.
Please, check my CV for a complete list of my talks and seminars at international conferences and institutions.
National Scientific qualification as associate professor in the Italian higher education system, for the disciplinary field of 01/A2 - Geometry and Algebra (October 2023-2035).