A note on generalized mobius (s-functions

V. S. Albis

Published

1968-01-01

A note on generalized mobius (s-functions

Keywords:

Integers, subsets, factorization, conjugate pair, functions (es)

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Authors

V. S. Albis Universidad Nacional de Colombia

Abstract (es)

In [1] the concept of a conjugate pair of sets of positive integers is introduced. Briefly, if Z denotés the set of positive integers and P and Q denote non-empty subsets of Z such that: if n₁ (pertenece a) Z, n₂ (pertenece a) Z, (n₁,n₂) = 1, then

(1) n = n₁n₂ (pertenece a) P(resp. Q) <=> n₁ (pertenece a) P,n₂(pertenece a) P (resp. Q),

and, if in addition, for each integer n (pertenece a) Z there is a unique factorization of the form

(2) n = ab , a (pertenece a) P, b (pertenece a) Q,

we say that each of the sets P and Q is a direct factor set of Z, and that (P,Q) is a conjugate pair.

It is clear that P (intersección) Q = {11}. Among the generalized functions studied in [1] ,

How to Cite

APA

Albis, V. S. (1968). A note on generalized mobius (s-functions. Revista Colombiana de Matemáticas, 2(1), 6–11. https://revistas.unal.edu.co/index.php/recolma/article/view/31460

ACM

[1]

Albis, V.S. 1968. A note on generalized mobius (s-functions. Revista Colombiana de Matemáticas. 2, 1 (Jan. 1968), 6–11.

ACS

(1)

Albis, V. S. A note on generalized mobius (s-functions. rev.colomb.mat 1968, 2, 6-11.

ABNT

ALBIS, V. S. A note on generalized mobius (s-functions. Revista Colombiana de Matemáticas, [S. l.], v. 2, n. 1, p. 6–11, 1968. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/31460. Acesso em: 10 mar. 2025.

Chicago

Albis, V. S. 1968. “A note on generalized mobius (s-functions”. Revista Colombiana De Matemáticas 2 (1):6-11. https://revistas.unal.edu.co/index.php/recolma/article/view/31460.

Harvard

Albis, V. S. (1968) “A note on generalized mobius (s-functions”, Revista Colombiana de Matemáticas, 2(1), pp. 6–11. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/31460 (Accessed: 10 March 2025).

IEEE

[1]

V. S. Albis, “A note on generalized mobius (s-functions”, rev.colomb.mat, vol. 2, no. 1, pp. 6–11, Jan. 1968.

MLA

Albis, V. S. “A note on generalized mobius (s-functions”. Revista Colombiana de Matemáticas, vol. 2, no. 1, Jan. 1968, pp. 6-11, https://revistas.unal.edu.co/index.php/recolma/article/view/31460.

Turabian

Albis, V. S. “A note on generalized mobius (s-functions”. Revista Colombiana de Matemáticas 2, no. 1 (January 1, 1968): 6–11. Accessed March 10, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/31460.

Vancouver

1.

Albis VS. A note on generalized mobius (s-functions. rev.colomb.mat [Internet]. 1968 Jan. 1 [cited 2025 Mar. 10];2(1):6-11. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/31460