Convolutions with Unbounded Unity
Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 542-546

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DOI

On the set F of complex-valued arithmetic functions we construct an infinite family of convolutions, that is, binary operations ψ of the form so that (F, +, ψ) is a commutative ring, for which the unity is unbounded. Here + denotes pointwise addition.
DOI : 10.4153/CMB-1991-085-3
Mots-clés : 11A25, Arithmetic convolution, unity of a ring
Sitaramaiah, V.; Subbarao, M. V. Convolutions with Unbounded Unity. Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 542-546. doi: 10.4153/CMB-1991-085-3
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     title = {Convolutions with {Unbounded} {Unity}},
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     year = {1991},
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     doi = {10.4153/CMB-1991-085-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-085-3/}
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