A monoidtheoretical approach to infinite directsum decompositions of modules
(with Z. Nazemian).
Preprint.
Daniel Smertnig
Preprints
Peerreviewed Publications

Computing the linear hull: Deciding Deterministic? And Unambiguous? For weighted automata over fields
(with J. P. Bell).
LICS ’23—38th Annual ACM/IEEE Symposium on Logic in Computer Science, 2023, pp. 1–13. 
Duality of lattices associated to left and right quotients
(with J. P. Bell and H. Tamm).
Proceedings of the 16th International Conference on Automata and Formal Languages, AFL 2023, Eger, Hungary, September 57, 2023, EPTCS, vol. 386, 2023, pp. 35–50. 
On noncommutative bounded factorization domains and prime rings
(with J. P. Bell, K. Brown, and Z. Nazemian).
J. Algebra 622 (2023), 404–449. 
Dfinite multivariate series with arithmetic restrictions on their coefficients
(with J. Bell).
Canad. J. Math. 75 (2023), no. 6, 1745–1779. 
A height gap theorem for coefficients of Mahler functions
(with B. Adamczewski and J. Bell).
J. Eur. Math. Soc. (JEMS) 25 (2023), no. 7, 2525–2571. 
Lattices over Bass rings and graph agglomerations
(with N. R. Baeth).
Algebr. Represent. Theory 25 (2022), 669–704. 
Noncommutative rational Pólya series
(with J. Bell).
Selecta Math. (N.S.) 27 (2021), no. 3, Paper No. 34, 34. 
Definite orders with locally free cancellation
(with J. Voight).
Trans. London Math. Soc. 6 (2019), no. 1, 53–86. 
Factoriality and class groups of cluster algebras
(with A. Garcia Elsener and P. Lampe).
Adv. Math. 358 (2019), 106858. 
Factorizations in bounded hereditary Noetherian prime rings.
Proc. Edinburgh Math. Soc. (2) 62 (2019), no. 2, 395–442. 
Arithmetical invariants of local quaternion orders
(with N. R. Baeth).
Acta Arith. 186 (2018), no. 2, 143–177. 
Every abelian group is the class group of a simple Dedekind domain.
Trans. Amer. Math. Soc. 369 (2017), no. 4, 2477–2491. 
Factorizations of Elements in Noncommutative Rings: A survey.
Multiplicative Ideal Theory and Factorization Theory, Springer, 2016, pp. 353–402. 
A semigrouptheoretical view of directsum decompositions and associated combinatorial problems
(with N. R. Baeth, A. Geroldinger, and D. J. Grynkiewicz).
J. Algebra Appl. 14 (2015), no. 2, 1550016, 60. 
Factorization theory: From commutative to noncommutative settings
(with N. R. Baeth).
J. Algebra 441 (2015), 475–551. 
A note on cancellation in totally definite quaternion algebras.
J. Reine Angew. Math. 707 (2015), 209–216. 
Cyclically presented modules, projective covers and factorizations
(with A. Facchini and N. Khanh Tung).
Ring Theory and Its Applications, Contemp. Math., vol. 609, Amer. Math. Soc., Providence, RI, 2014, pp. 89–106. 
Factorization in the selfidealization of a PID
(with G. W. Chang).
Boll. Unione Mat. Ital. (9) 6 (2013), no. 2, 363–377. 
Sets of lengths in maximal orders in central simple algebras.
J. Algebra 390 (2013), 1–43. 
On the Davenport constant and group algebras.
Colloq. Math. 121 (2010), no. 2, 179–193.