Arithmetic Funtions Over Rings with Zero Divisors
Bulletin of the Malaysian Mathematical Society, Tome 24 (2001) no. 1 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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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/}
}
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AU  - Pattanee Udomkavanich
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%A Pattanee Udomkavanich
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                        Zero Divisors
%J Bulletin of the Malaysian Mathematical Society
%D 2001
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%N 1
%U http://geodesic.mathdoc.fr/item/BMMS_2001_24_1_a8/
%F BMMS_2001_24_1_a8
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/