| Title:
|
The role of semigroups in the elementary theory of numbers (English) |
| Author:
|
Schwarz, Štefan |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
31 |
| Issue:
|
4 |
| Year:
|
1981 |
| Pages:
|
369-395 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11A07 |
| MSC:
|
20M10 |
| MSC:
|
20M25 |
| idZBL:
|
Zbl 0474.10002 |
| idMR:
|
MR637966 |
| . |
| Date available:
|
2009-09-25T09:16:45Z |
| Last updated:
|
2012-07-31 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128855 |
| . |
| Reference:
|
[1] CORDES C. M.: Permutations mod m in the foгm xn.Amer. Math. Monthly 83, 1976, 32-33. MR 0460222 |
| Reference:
|
[2] HEWITT E., ZUCKERMAN H. S.: The multiplicative semigroup of integers (mod m).Pacific J. Math. 10, 1960, 1291-1308. MR 0125892 |
| Reference:
|
[3] HEWITT E.: Ceгtain congruences that hold identically.Amer. Math. Monthly 83, 1976, 270-271. MR 0434933 |
| Reference:
|
[4] KOWOL G., MITSCH H.: Polynomial functions over commutative semigгoups.Semigroup Forum 12, 1976, 109-118. MR 0404501 |
| Reference:
|
[5] LIVINGSTON A. E., LIVINGSTON M. L.: The congruence $а^{r+s} = a^s (mod m)$.Ameг. Math. Monthy 85, 1978, 97-100. Zbl 0375.10002, MR 0472660 |
| Reference:
|
[6] MORGADO J.: A pгopeгty of the Euleг $\varpsi$-function concerning the integers which are гegular (mod m).Poгtugal. Math. 33, 1974, 185-191. MR 0419336 |
| Reference:
|
[7] OSBORN R.: A "good" generalization of the Euleг-Fermat theorem.Math. Mag. 47, 1974, 28-31. MR 0335415 |
| Reference:
|
[8] PARÍZEK B., SCHWARZ Š.: O multiplikatívnej pologгupe zvyškových tried (mod m).Mat.-Fyz. Časop. 8, 1958, 136-150. MR 0103938 |
| Reference:
|
[9] PARÍZEK B.: O rozklade pologrupy zvyškov (mod m) na diгektný súčin.Mat.-Fyz. Časop. 10, 1960, 18-29. |
| Reference:
|
[10] SINGMASTER D.: A maximal generalization of Feгmaťs theoгem.Math. Mag. 39, 1966, 103-107. MR 0197386 |
| Reference:
|
[11] SMALL, CH.: Powers mod m.Math. Mag. 50, 1977, 84-86. MR 0437433 |
| Reference:
|
[12] VANDIVER H. S., WEAVER H. W.: Intгoduction to arithmetic factorization and congгuences fгom the standpoint of abstгact algebгa.H. E. Slaught Memorial Papers, no. 7, 1958, Math. Assoc. of America. |
| Reference:
|
[13] ZANE B.: Uniform distribution (mod m) of monomials.Ameг. Math. Monthly 71, 1964, 162-164. MR 0161829 |
| Reference:
|
[14] BUCHŠTAB A. A.: Teorija čisel.Gos. uč.-ped. izd., Moskva, 1960. |
| Reference:
|
[15] DICKSON L. E., BODEWIG E.: Intгoduction to the Theoгy of Numbeгs.(German edition.) Teubneг, Leipzig, 1931. |
| . |
