Arithmetic Funtions Over Rings with
Zero Divisors
Bulletin of the Malaysian Mathematical Society, Tome 24 (2001) no. 1
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It is well known that the complex-valued arithmetic functions form a unique factorization domain under addition and convolution, and so do those functions with values in other suitable rings. Here we consider instead such functions with values in a unique factorization ring with zero divisors and prove that under certain yet similar conditions, they also form a unique factorization ring with zero divisors.
@article{BMMS_2001_24_1_a8,
author = {Pattira Ruangsinsap and Vichian Laohakosol and Pattanee Udomkavanich},
title = {Arithmetic {Funtions} {Over} {Rings} with
{Zero} {Divisors}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2001},
volume = {24},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BMMS_2001_24_1_a8/}
}
TY - JOUR
AU - Pattira Ruangsinsap
AU - Vichian Laohakosol
AU - Pattanee Udomkavanich
TI - Arithmetic Funtions Over Rings with
Zero Divisors
JO - Bulletin of the Malaysian Mathematical Society
PY - 2001
VL - 24
IS - 1
UR - http://geodesic.mathdoc.fr/item/BMMS_2001_24_1_a8/
ID - BMMS_2001_24_1_a8
ER -
Pattira Ruangsinsap; Vichian Laohakosol; Pattanee Udomkavanich. Arithmetic Funtions Over Rings with
Zero Divisors. Bulletin of the Malaysian Mathematical Society, Tome 24 (2001) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2001_24_1_a8/