Geodesic
The role of semigroups in the elementary theory of numbers
Mathematica slovaca, Tome 31 (1981) no. 4, pp. 369-395

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
Classification : 11A07, 20M10, 20M25 
Schwarz, Štefan. The role of semigroups in the elementary theory of numbers. Mathematica slovaca, Tome 31 (1981) no. 4, pp. 369-395. http://geodesic.mathdoc.fr/item/MASLO_1981_31_4_a5/
@article{MASLO_1981_31_4_a5,
     author = {Schwarz, \v{S}tefan},
     title = {The role of semigroups in the elementary theory of numbers},
     journal = {Mathematica slovaca},
     pages = {369--395},
     year = {1981},
     volume = {31},
     number = {4},
     mrnumber = {637966},
     zbl = {0474.10002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1981_31_4_a5/}
}
TY  - JOUR
AU  - Schwarz, Štefan
TI  - The role of semigroups in the elementary theory of numbers
JO  - Mathematica slovaca
PY  - 1981
SP  - 369
EP  - 395
VL  - 31
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MASLO_1981_31_4_a5/
LA  - en
ID  - MASLO_1981_31_4_a5
ER  - 
%0 Journal Article
%A Schwarz, Štefan
%T The role of semigroups in the elementary theory of numbers
%J Mathematica slovaca
%D 1981
%P 369-395
%V 31
%N 4
%U http://geodesic.mathdoc.fr/item/MASLO_1981_31_4_a5/
%G en
%F MASLO_1981_31_4_a5

[1] CORDES C. M.: Permutations mod m in the foгm xn. Amer. Math. Monthly 83, 1976, 32-33. | MR

[2] HEWITT E., ZUCKERMAN H. S.: The multiplicative semigroup of integers (mod m). Pacific J. Math. 10, 1960, 1291-1308. | MR

[3] HEWITT E.: Ceгtain congruences that hold identically. Amer. Math. Monthly 83, 1976, 270-271. | MR

[4] KOWOL G., MITSCH H.: Polynomial functions over commutative semigгoups. Semigroup Forum 12, 1976, 109-118. | MR

[5] LIVINGSTON A. E., LIVINGSTON M. L.: The congruence $а^{r+s} = a^s (mod m)$. Ameг. Math. Monthy 85, 1978, 97-100. | MR | Zbl

[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

[7] OSBORN R.: A "good" generalization of the Euleг-Fermat theorem. Math. Mag. 47, 1974, 28-31. | MR

[8] PARÍZEK B., SCHWARZ Š.: O multiplikatívnej pologгupe zvyškových tried (mod m). Mat.-Fyz. Časop. 8, 1958, 136-150. | MR

[9] PARÍZEK B.: O rozklade pologrupy zvyškov (mod m) na diгektný súčin. Mat.-Fyz. Časop. 10, 1960, 18-29.

[10] SINGMASTER D.: A maximal generalization of Feгmaťs theoгem. Math. Mag. 39, 1966, 103-107. | MR

[11] SMALL, CH.: Powers mod m. Math. Mag. 50, 1977, 84-86. | MR

[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.

[13] ZANE B.: Uniform distribution (mod m) of monomials. Ameг. Math. Monthly 71, 1964, 162-164. | MR

[14] BUCHŠTAB A. A.: Teorija čisel. Gos. uč.-ped. izd., Moskva, 1960.

[15] DICKSON L. E., BODEWIG E.: Intгoduction to the Theoгy of Numbeгs. (German edition.) Teubneг, Leipzig, 1931.