ایده‌آل برابر کننده چندجمله‌ای‌های صحیح-مقدار روی حلقه ماتریس‌های بالا مثلثی

[1] P. J. Cahen and J. L. Chabert, Integer-Valued Polynomials, Math. Surv. Monogr., 48, Amer. Math. Soc., Providence, 1997.
[2] P. J. Cahen and R. Rissner, Finitness and Skolem closure of ideals for non-unibranched domain, Comm. Algebra, 43 (2015) 2231–2239.
[3] S. Frisch, Polynomial functions on upper triangular matrix algebra, Monats. fur Math., 184 (2017) 201–215.
[4] J. Meyer, J. Szigeti and L. Wyk, On ideals of triangular matrix rings, Periodica Mathematica Hungarica, 59 (2009) 109–115.
[5] A. R. Naghipour, M. R. Rismanchian and J. Sedighi Hafshejani, Some results on the integer-valued polynomials over matrix rings, Comm. Algebra, 45 (2017) 1675–1686.
[6] A. R. Naghipour and J. Sedighi Hafshejani, Some results on integer-valued polynomials over modules, Bull. Korean Math. Soc., 57 (2020) 1165–1176.
[7] W. Narkiewicz, Polynomial Mappings, Lecture Notes, 1600, Springer- Verlag, Berlin, Heidelberg, New York, 1995.
[8] A. Ostrowski, Über ganzwertige Polynome in algebraischen Zahlkörpen, J. Reine Angew. Math., 149 (1919) 117–124.
[9] G. Pólya, Über ganzwertige Polynome in algebraischen Zahlkörpen, J. Reine Angew. Math., 149 (1919) 97–116.

[10] J. Sedighi Hafshejani and A. R. Naghipour, Integer-valued polynomials over matrix rings of number fields, Bull. Iranian Math. Soc., 47 (2021) 2005–2013.
[11] T. Skolem, Ein Satz über ganzwetige polynome, Det Kongelige Norske Videnskabers Selskab (Trond-heim), 9 (1936) 111–113.
[12] N. J. Werner, Integer-valued polynomials over matrix rings, Comm. Algebra, 40 (2012) 4717–4726.

[13] ع. کوچک‌پور و م. معتمدی، قضیه اصلی حساب و یکتایی تجزیه، فرهنگ و اندیشه ریاضی، 48 (1390) 47-59.