Daniel Smertnig

Preprints

  1. PDF 2411.01051
    Primes and absolutely or non-absolutely irreducible elements in atomic domains
    (with V. Fadinger, S. Frisch, S. Nakato, and D. Windisch).
    Preprint.
  2. PDF 2410.03444
    Factoring through monomial representations: Arithmetic characterizations and ambiguity of weighted automata
    (with A. Puch).
    Preprint.
  3. PDF 2401.08203
    A monoid-theoretical approach to infinite direct-sum decompositions of modules
    (with Z. Nazemian).
    Preprint.

Peer-reviewed Publications

  1. PDF 2407.02615
    Monoid algebras and graph products
    (with W. Imrich and I. Klep).
    Art Discrete Appl. Math. Accepted.
  2. PDF 2209.02260 DOI
    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.
  3. PDF 2306.02491 DOI
    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 5-7, 2023, EPTCS, vol. 386, 2023, pp. 35–50.
  4. PDF 2206.10115 DOI
    On noncommutative bounded factorization domains and prime rings
    (with J. P. Bell, K. Brown, and Z. Nazemian).
    J. Algebra 622 (2023), 404–449.
  5. PDF 2202.00415 DOI
    D-finite multivariate series with arithmetic restrictions on their coefficients
    (with J. Bell).
    Canad. J. Math. 75 (2023), no. 6, 1745–1779.
  6. PDF 2003.03429 DOI
    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.
  7. PDF 2006.10002 DOI
    Lattices over Bass rings and graph agglomerations
    (with N. R. Baeth).
    Algebr. Represent. Theory 25 (2022), 669–704.
  8. PDF 1906.07271 DOI
    Noncommutative rational Pólya series
    (with J. Bell).
    Selecta Math. (N.S.) 27 (2021), no. 3, Paper No. 34, 34.
  9. PDF 1903.00560 DOI
    On basic and Bass quaternion orders
    (with S. Chari and J. Voight).
    Proc. Amer. Math. Soc. Ser. B 8 (2021), 11–26.
  10. PDF 1903.10662 DOI
    Definite orders with locally free cancellation
    (with J. Voight).
    Trans. London Math. Soc. 6 (2019), no. 1, 53–86.
  11. PDF 1712.06512 DOI
    Factoriality and class groups of cluster algebras
    (with A. Garcia Elsener and P. Lampe).
    Adv. Math. 358 (2019), 106858.
  12. PDF 1605.09274 DOI
    Factorizations in bounded hereditary Noetherian prime rings.
    Proc. Edinburgh Math. Soc. (2) 62 (2019), no. 2, 395–442.
  13. PDF 1706.00572 DOI
    Arithmetical invariants of local quaternion orders
    (with N. R. Baeth).
    Acta Arith. 186 (2018), no. 2, 143–177.
  14. PDF 1505.00608 DOI
    Every abelian group is the class group of a simple Dedekind domain.
    Trans. Amer. Math. Soc. 369 (2017), no. 4, 2477–2491.
  15. PDF 1507.07487
    Factorizations of Elements in Noncommutative Rings: A survey.
    Multiplicative Ideal Theory and Factorization Theory, Springer, 2016, pp. 353–402.
  16. PDF 1404.7264 DOI
    A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems
    (with N. R. Baeth, A. Geroldinger, and D. J. Grynkiewicz).
    J. Algebra Appl. 14 (2015), no. 2, 1550016, 60.
  17. PDF 1402.4397 DOI
    Factorization theory: From commutative to noncommutative settings
    (with N. R. Baeth).
    J. Algebra 441 (2015), 475–551.
  18. PDF DOI
    A note on cancellation in totally definite quaternion algebras.
    J. Reine Angew. Math. 707 (2015), 209–216.
  19. PDF 1306.5710 DOI
    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.
  20. PDF 1311.5107 Corrigendum
    Factorization in the self-idealization of a PID
    (with G. W. Chang).
    Boll. Unione Mat. Ital. (9) 6 (2013), no. 2, 363–377.
  21. PDF 1306.0834 DOI
    Sets of lengths in maximal orders in central simple algebras.
    J. Algebra 390 (2013), 1–43.
  22. PDF 0907.4913 DOI
    On the Davenport constant and group algebras.
    Colloq. Math. 121 (2010), no. 2, 179–193.