Geodesic
Arithmetical Functions and Distributivity
Canadian mathematical bulletin, Tome 13 (1970) no. 4, pp. 491-496

Voir la notice de l'article provenant de la source Cambridge

DOI

In this note we shall present a result about incidence functions on a locally finite partially ordered set, a result which is related to theorems of Lambek [2] and Subbarao [6]. Our terminology and notation will be that of Smith [4, 5] and Rota [7].Let (L, ≤) be a partially ordered set which is locally finite in the sense that for all x, y ∊ L the interval [x, y] = {z | x ≤ z ≤ y} is finite. Denote by A(L, ≤) the set of functions f from L × L into some field, which is fixed once and for all, such that f(x, y) = 0 whenever x ≰ y. 
McCarthy, P. J. Arithmetical Functions and Distributivity. Canadian mathematical bulletin, Tome 13 (1970) no. 4, pp. 491-496. doi: 10.4153/CMB-1970-089-8
@article{10_4153_CMB_1970_089_8,
     author = {McCarthy, P. J.},
     title = {Arithmetical {Functions} and {Distributivity}},
     journal = {Canadian mathematical bulletin},
     pages = {491--496},
     year = {1970},
     volume = {13},
     number = {4},
     doi = {10.4153/CMB-1970-089-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1970-089-8/}
}
TY  - JOUR
AU  - McCarthy, P. J.
TI  - Arithmetical Functions and Distributivity
JO  - Canadian mathematical bulletin
PY  - 1970
SP  - 491
EP  - 496
VL  - 13
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1970-089-8/
DO  - 10.4153/CMB-1970-089-8
ID  - 10_4153_CMB_1970_089_8
ER  - 
%0 Journal Article
%A McCarthy, P. J.
%T Arithmetical Functions and Distributivity
%J Canadian mathematical bulletin
%D 1970
%P 491-496
%V 13
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1970-089-8/
%R 10.4153/CMB-1970-089-8
%F 10_4153_CMB_1970_089_8

Cité par Sources :