References
- Cahen, P.-J., Chabert, J.-L. (1997). Integer-Valued Polynomials. Mathematical Surveys and Monographs, Vol. 48. Providence, RI: American Mathematical Society.
- Evrard, S., Fares, Y., Johnson, K. (2013). Integer valued polynomials on lower triangular integer matrices. Monatsh Math. 170:147–160. DOI: 10.1007/s00605-013-0481-6.
- Frisch, S. (2010). Integer-valued polynomials on algebras: a survey. Actes du CIRM 2(2):27–32. DOI: 10.5802/acirm.30.
- Frisch, S. (2013). Integer-valued polynomials on algebras. J. Algebra 373:414–425. DOI: 10.1016/j.jalgebra.2012.10.003.
- Frisch, S. (2017). Polynomial functions on upper triangular matrix algebras. Monatsh. Math. 184:201–215. DOI: 10.1007/s00605-016-1013-y.
- Lam, T. Y. (2001). A First Course in Noncommutative Rings. New York: Springer-Verlag, Inc.
- Naghipour, A. R., Rismanchian, M. R., Sedighi Hafshejani, J. (2017). Some results on the integer-valued polynomials over matrix rings. Commun. Algebra 45(4):1675–1686. DOI: 10.1080/00927872.2016.1222407.
- Narkiewicz, W. (1995). Polynomial Mappings. Lecture Notes, Vol. 1600. Berlin, Heidelberg, New York: Springer-Verlag.
- Ostrowski, W. (1919). Über ganzwertige Polynome in algebraischen Zahlkörpen. J. Reine Angew. Math. 149: 117–124. DOI: 10.1515/crll.1919.149.117.
- Peruginelli, G. (2014). Integer-valued polynomials over matrices and divided differences. Monatsh. Math. 173(4):559–571. DOI: 10.1007/s00605-013-0519-9.
- Peruginelli, G., Werner, N. J. (2016). Properly integral polynomials over the ring of integer-valued polynomials on a matrix ring. J. Algebra 460:320–339. DOI: 10.1016/j.jalgebra.2016.04.016.
- Peruginelli, G., Werner, N. J. (2017). Non-triviality conditions for integer-valued polynomials on algebras. Monatsh. Math. 183(1):177–189. DOI: 10.1007/s00605-016-0951-8.
- Pólya, G. (1919). Über ganzwertige Polynome in algebraischen Zahlkörpen. J. Reine Angew. Math. 149:97–116. DOI: 10.1515/crll.1919.149.97.
- Rush, D. E. (1998). The conditions Int(R)⊆RS[X] and Int(RS)=Int(R)S for integer-valued polynomials. J. Pure Appl. Algebra 125(1–3):287–303.
- Sedighi Hafshejani, J., Naghipour, A. R., Rismanchian, M. R. (2020). Integer-valued polynomials over block matrix algebras. J. Algebra Appl. 19(3): 2050053, 17 pp. DOI: 10.1142/S021949882050053X.
- Werner, N. J. (2017). Integer-valued Polynomials on Algebras: A Survey of Recent Results and Open Questions, Rings, Polynomials, and Modules. Cham: Springer, pp. 353–375.