A. A. Nechaev, “Polynomial transformations of finite commutative local rings of principal ideals”, Mat. Zametki, 27:6 (1980), 885–897; Math. Notes, 27:6 (1980), 425

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Matematicheskie Zametki, 1980, Volume 27, Issue 6, Pages 885–897 (Mi mzm6478)

This article is cited in 15 scientific papers (total in 15 papers)

Polynomial transformations of finite commutative local rings of principal ideals

A. A. Nechaev

Full-text PDF (932 kB) Citations (15)

Received: 15.03.1978

English version:
Mathematical Notes, 1980, Volume 27, Issue 6, Pages 425–432
DOI: https://doi.org/10.1007/BF01145430

Bibliographic databases:

UDC: 519.4

Language: Russian

Citation: A. A. Nechaev, “Polynomial transformations of finite commutative local rings of principal ideals”, Mat. Zametki, 27:6 (1980), 885–897; Math. Notes, 27:6 (1980), 425–432

Citation in format AMSBIB

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\issue 6

\pages 885--897

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\jour Math. Notes

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\pages 425--432

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Linking options:

https://www.mathnet.ru/eng/mzm6478

https://www.mathnet.ru/eng/mzm/v27/i6/p885

This publication is cited in the following 15 articles:

Amr Ali Al-Maktry, “On the group of unit-valued polynomial functions”, AAECC, 34:3 (2023), 521
O. A. Kozlitin, “Periodicheskie svoistva mnogomernykh polinomialnykh preobrazovanii nad koltsom Galua – Eizenshteina”, Matem. vopr. kriptogr., 13:1 (2022), 69–99
Amr Ali Abdulkader AL-MAKTRY, “On a property of the ideals of the polynomial ring $R[x]$ ”, International Electronic Journal of Algebra, 31:31 (2022), 1
Hasan Al-Ezeh, Amr Ali Al-Maktry, Sophie Frisch, “Polynomial functions on rings of dual numbers over residue class rings of the integers”, Mathematica Slovaca, 71:5 (2021), 1063
O. A. Kozlitin, “Periodicheskie svoistva mnogomernogo polinomialnogo generatora nad koltsom Galua. I”, Matem. vopr. kriptogr., 9:3 (2018), 61–98
Mark W. Rogers, Cameron Wickham, “Polynomials inducing the zero function on chain rings”, J. Algebra Appl., 17:08 (2018), 1850160
V. E. Viktorenkov, “On the structure of digraphs of polynomial transformations over finite commutative rings with unity”, Discrete Math. Appl., 28:3 (2018), 259–274
M. V. Zaets, “Razryadno-polinomialnoe postroenie podstanovok nad koltsom Galua”, PDM. Prilozhenie, 2017, no. 10, 17–19
D. M. Ermilov, “Svoistva polinomialnykh generatorov s vykhodnoi posledovatelnostyu naibolshego perioda nad koltsom Galua”, PDM, 2015, no. 1(27), 52–61
M. V. Zaets, “Postroenie podstanovok s ispolzovaniem variatsionno-koordinatno polinomialnykh funktsii nad primarnym koltsom vychetov”, Matem. vopr. kriptogr., 6:1 (2015), 5–32
D. M. Ermilov, O. A. Kozlitin, “O stroenii grafa polinomialnogo preobrazovaniya koltsa Galua”, Matem. vopr. kriptogr., 6:3 (2015), 47–73
D. M. Ermilov, O. A. Kozlitin, “Tsiklovaya struktura polinomialnogo generatora nad koltsom Galua”, Matem. vopr. kriptogr., 4:1 (2013), 27–57
M. V. Zaets, V. G. Nikonov, A. B. Shishkov, “Klass funktsii s variatsionno-koordinatnoi polinomialnostyu nad koltsom $\mathbb Z_{2^m}$ i ego obobschenie”, Matem. vopr. kriptogr., 4:3 (2013), 21–47
Sophie Frisch, Daniel Krenn, “Sylow p -groups of polynomial permutations on the integers modpn”, Journal of Number Theory, 133:12 (2013), 4188
O. A. Kozlitin, “Polynomial transformations of a GEO-ring of prime characteristic”, Discrete Math. Appl., 14:4 (2004), 373–384

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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