Homepage of Nick Werner

Who I am:

Nicholas J. Werner

Associate Professor

Department of Mathematics, Computer and Information Science

SUNY at Old Westbury

wernern at oldwestbury dot ee dee u

Below, you will find links to preprints of my articles and cv.

Article preprints:

28. The covering numbers of rings (with E. Swartz). J. Algebra 639 (2024), 249--280.

[DOI] [arXiv]

27. Null ideals of sets of 3×3 similar matrices with irreducible characteristic polynomial (with E. Swartz). To appear in Linear Multilinear Algebra.

[DOI] [arXiv]

26. A new infinite family of σ-elementary rings (with E. Swartz). To appear in Comm. Algebra.

[DOI] [arXiv]

25. Countably coverable rings (with G. Oman). Comm. Algebra 51 (2023), no. 7, 2748--2758.

[DOI] [preprint]

24. Corrigendum to "Fuchs' problem for 2-groups" (with E. Swartz). J. Algebra 608 (2022), 25--36.

[DOI]

23. Null ideals of subsets of matrix rings over fields. Linear Algebra Appl. 642 (2022), 50--72.

[DOI] [preprint]

22. Covering numbers of commutative rings (with E. Swartz). J. Pure Appl. Algebra 225 (2021), no. 8, 17pp.

[arXiv]

21. Fuchs' problem for 2-groups (with E. Swartz). J. Algebra 556 (2020), 225--245.

[arXiv] [DOI]

20. Covering numbers of upper triangular matrix rings over finite fields (with M. Cai). Involve 12 (2019), no. 6, 1005--1013.

[preprint] [DOI]

19. Integer-valued skew polynomials, J. Algebra. Appl. 20 (2021), no. 7, 20pp.

[preprint] [DOI]

18. On the number of reachable pairs in a digraph (with E. Swartz). Australas. J. Combin., Vol. 77(2) (2020), 184--223.

[Article]

17. Maximal Subrings and Covering Numbers of Finite Semisimple Rings (with G. Peruginelli). Comm. Algebra 46 (2018) no. 11, 4724--4738.

[preprint] [DOI]

16. Integer-valued Polynomials on Algebras: A Survey of Recent Results and Open Problems. In ``Rings, Polynomials, and Modules'', M. Fontana, S. Frisch, S. Glaz, F. Tartarone, P. Zanardo (editors), pp. 353--375. Springer, 2017, ISBN 978-3-319-65872-8.

[preprint] [DOI]

15. Decomposition of integer-valued polynomial algebras (with G. Peruginelli). J. Pure Appl. Algebra 222 (2018), no. 9, 2562--2579.

[arXiv] [DOI]

14. Non-triviality Conditions for Integer-valued Polynomial Rings on Algebras (with G. Peruginelli), Monatsh. Math. 183 (2017), no. 1, 177--189.

[arXiv] [DOI]

13. Properly Integral Polynomials over the Ring of Integer-valued Polynomials on a Matrix Ring (with G. Peruginelli), J. Algebra 460 (2016) 320--339

[arXiv] [DOI]

12. The axiomatizability of the class of root closed monoids (with G. Oman and K. A. Loper), Semigroup Forum 91 (2015), no. 3, 737--740

[DOI]

11. Resultants of minimal polynomials of maximal real cyclotomic extensions (with K. A. Loper), J. Number Theory 158 (2016) 298--315

[preprint] [DOI]

10. Covering Numbers of Finite Rings, Amer. Math. Monthly 122, no. 6 (June–July 2015), 552--566

[DOI]

9. Pseudo-convergent sequences and Prufer domains of integer-valued polynomials (with K. A. Loper), J. Commut. Algebra 8 (2016), no. 2, 411--429

[preprint] [DOI]

8. Integral Closure of Rings of Integer-valued Polynomials on Algebras (with G. Peruginelli), in ``Commutative Algebra: Recent Advances in Commutative Rings, Integer-Valued Polynomials, and Polynomial Functions'', M. Fontana, S. Frisch and S. Glaz (editors), Springer 2014.

[arXiv] [DOI]

7. Split Quaternions and Integer-valued Polynomials (with A. Cigliola and K. A. Loper), Comm. Algebra 43 (2015) no. 1, 182--196 © Taylor & Francis

[preprint] [DOI]

6. Int-decomposable Algebras, J. Pure Appl. Algebra 218 (2014) 1806--1819

[preprint] [DOI]

5. Polynomials that Kill each Element of a Finite Ring, J. Algebra Appl. 13 (2014), no. 3, 12pp. © Scientific Publishing Company

[preprint] [DOI]

4. Generalized Rings of Integer-valued Polynomials (with K. A. Loper), J. Number Theory 132 (2012) 2481--2490

[preprint] [DOI]

1. Integer-valued Polynomials over Quaternion Rings, J. Algebra 324 (2010) 1754--1769

[preprint] [DOI]

CV:

Curriculum Vitae