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.
33. Integer-valued polynomials on subsets of quaternion algebras. [preprint]
32. Exponential and weakly exponential subgroups of finite groups (with E. Swartz). To appear in Int. J. Group Theory. [DOI] [arXiv]
31. Nontriviality of rings of integral-valued polynomials (with G. Peruginelli). submitted [arXiv]
30. Counting core sets in matrix rings over finite fields (with R. Rissner). submitted [arXiv]
29. A note on finite nilpotent groups. Amer. Math. Monthly 131, no. 9 (2024), 803–805. [DOI] [arXiv ]
28. The covering numbers of rings (with E. Swartz). J. Algebra 639 (2024), 249--280.
27. Null ideals of sets of 3×3 similar matrices with irreducible characteristic polynomial (with E. Swartz). To appear in Linear Multilinear Algebra.
26. A new infinite family of σ-elementary rings (with E. Swartz). Comm. Algebra 52 (2024), no. 1, 172--188.
25. Countably coverable rings (with G. Oman). Comm. Algebra 51 (2023), no. 7, 2748--2758.
24. Corrigendum to "Fuchs' problem for 2-groups" (with E. Swartz). J. Algebra 608 (2022), 25--36.
23. Null ideals of subsets of matrix rings over fields. Linear Algebra Appl. 642 (2022), 50--72.
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.
20. Covering numbers of upper triangular matrix rings over finite fields (with M. Cai). Involve 12 (2019), no. 6, 1005--1013.
19. Integer-valued skew polynomials, J. Algebra. Appl. 20 (2021), no. 7, 20pp.
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.
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.
15. Decomposition of integer-valued polynomial algebras (with G. Peruginelli). J. Pure Appl. Algebra 222 (2018), no. 9, 2562--2579.
14. Non-triviality Conditions for Integer-valued Polynomial Rings on Algebras (with G. Peruginelli), Monatsh. Math. 183 (2017), no. 1, 177--189.
13. Properly Integral Polynomials over the Ring of Integer-valued Polynomials on a Matrix Ring (with G. Peruginelli), J. Algebra 460 (2016) 320--339
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
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
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.
7. Split Quaternions and Integer-valued Polynomials (with A. Cigliola and K. A. Loper), Comm. Algebra 43 (2015) no. 1, 182--196 © Taylor & Francis
6. Int-decomposable Algebras, J. Pure Appl. Algebra 218 (2014) 1806--1819
5. Polynomials that Kill each Element of a Finite Ring, J. Algebra Appl. 13 (2014), no. 3, 12pp. © Scientific Publishing Company
4. Generalized Rings of Integer-valued Polynomials (with K. A. Loper), J. Number Theory 132 (2012) 2481--2490
3. Integer-valued Polynomials over Matrix Rings, Comm. Algebra 40 (2012) no. 12, 4717--4726 © Taylor & Francis
2. On the Least Common Multiple of Polynomials in Z/nZ[x], Comm. Algebra 40 (2012) no. 6, 2066--2080 © Taylor & Francis
1. Integer-valued Polynomials over Quaternion Rings, J. Algebra 324 (2010) 1754--1769