1 |
S. H. Man and P. F. Smith, On chains of prime submodules, Israel J. Math. 127 (2002), 131-155. https://doi.org/10.1007/BF02784529
DOI
|
2 |
H. Matsumura, Commutative Ring Theory, translated from the Japanese by M. Reid, Cambridge Studies in Advanced Mathematics, 8, Cambridge University Press, Cambridge, 1986.
|
3 |
R. L. McCasland and P. F. Smith, Prime submodules of Noetherian modules, Rocky Mountain J. Math. 23 (1993), no. 3, 1041-1062. https://doi.org/10.1216/rmjm/1181072540
DOI
|
4 |
A. R. Naghipour, Strongly prime submodules, Comm. Algebra 37 (2009), no. 7, 2193-2199. https://doi.org/10.1080/00927870802467239
DOI
|
5 |
A. R. Naghipour, Some results on strongly prime submodules, J. Alg. Sys. 1 (2013), no. 2, 79-89.
|
6 |
A. R. Naghipour, M. R. Rismanchian, and J. Sedighi Hafshejani, Some results on the integer-valued polynomials over matrix rings, Comm. Algebra 45 (2017), no. 4, 1675-1686. https://doi.org/10.1080/00927872.2016.1222407
DOI
|
7 |
W. Narkiewicz, Polynomial Mappings, Lecture Notes in Mathematics, 1600, Springer-Verlag, Berlin, 1995. https://doi.org/10.1007/BFb0076894
|
8 |
D. G. Northcott, Lessons on Rings, Modules and Multiplicities, Cambridge University Press, London, 1968.
|
9 |
A. Ostrowski, Uber ganzwertige Polynome in algebraischen Zahlkorpern, J. Reine Angew. Math. 149 (1919), 117-124.
|
10 |
G. Peruginelli and N. J. Werner, Integral closure of rings of integer-valued polynomials on algebras, in Commutative algebra, 293-305, Springer, New York, 2014.
|
11 |
G. Peruginelli and N. J. Werner, Non-triviality conditions for integer-valued polynomial rings on algebras, Monatsh. Math. 183 (2017), no. 1, 177-189. https://doi.org/10.1007/s00605-016-0951-8
DOI
|
12 |
G. Polya, Uber ganzwertige Polynome in algebraischen Zahlkorpern, J. Reine Angew. Math. 149 (1919), 97-116.
|
13 |
J. Sedighi Hafshejani, A. R. Naghipour, and M. R. Rismanchian, Integer-valued polynomials over block matrix algebras, J. Algebra Appl. 19 (2020), no. 3, 2050053, 17 pp. https://doi.org/10.1142/S021949882050053X
DOI
|
14 |
D. E. Rush, The conditions and for integer-valued polynomials, J. Pure Appl. Algebra 125 (1998), no. 1-3, 287-303. https://doi.org/10.1016/S0022-4049(96)00107-7
DOI
|
15 |
D. E. Rush, Strongly prime submodules, G-submodules and Jacobson modules, Comm. Algebra 40 (2012), no. 4, 1363-1368. https://doi.org/10.1080/00927872.2010.551530
DOI
|
16 |
K. Samei, Reduced multiplication modules, Proc. Indian Acad. Sci. Math. Sci. 121 (2011), no. 2, 121-132. https://doi.org/10.1007/s12044-011-0014-y
DOI
|
17 |
R. Y. Sharp, Steps in Commutative Algebra, second edition, London Mathematical Society Student Texts, 51, Cambridge University Press, Cambridge, 2000.
|
18 |
N. J. Werner, Integer-valued polynomials on algebras: a survey of recent results and open questions, in Rings, polynomials, and modules, 353-375, Springer, Cham, 2017.
|
19 |
S. Yassemi, Weakly associated primes under change of rings, Comm. Algebra 26 (1998), no. 6, 2007-2018. https://doi.org/10.1080/00927879808826256
DOI
|
20 |
P.-J. Cahen and J.-L. Chabert, Integer-valued polynomials, Mathematical Surveys and Monographs, 48, American Mathematical Society, Providence, RI, 1997.
|
21 |
J. Dauns, Prime modules, J. Reine Angew. Math. 298 (1978), 156-181. https://doi.org/10.1515/crll.1978.298.156
|
22 |
J. Elliott, Integer-valued polynomial rings, t-closure, and associated primes, Comm. Algebra 39 (2011), no. 11, 4128-4147. https://doi.org/10.1080/00927872.2010.519366
DOI
|
23 |
J. Elliott, Presentations and module bases of integer-valued polynomial rings, J. Algebra Appl. 12 (2013), no. 1, 1250137, 25 pp. https://doi.org/10.1142/S021949881250137X
DOI
|
24 |
J. Elliott, Integer-valued polynomials on commutative rings and modules, Comm. Algebra 46 (2018), no. 3, 1121-1137. https://doi.org/10.1080/00927872.2017.1388811
DOI
|
25 |
S. Frisch, Integer-valued polynomials on algebras: a survey, Actes du CIRM 2 (2010), no. 2, 27-32.
DOI
|
26 |
T. Y. Lam, Lectures on Modules and Rings, Springer-Verlag, Berlin-Heidelberg-New York, 1998.
|
27 |
S. Frisch, Integer-valued polynomials on algebras, J. Algebra 373 (2013), 414-425. https://doi.org/10.1016/j.jalgebra.2012.10.003
DOI
|
28 |
S. Frisch, Polynomial functions on upper triangular matrix algebras, Monatsh. Math. 184 (2017), no. 2, 201-215. https://doi.org/10.1007/s00605-016-1013-y
DOI
|