On Some Rings of Arithmetical Functions
Abstract In this paper we consider several constructions which from a given 𝐵-product *𝐵 lead to another one . We shall be interested in finding what algebraic properties of the ring 𝑅𝐵 = 〈𝐶ℕ, +, *𝐵〉 are shared also by the ring . In particular, for some constructions the rings 𝑅𝐵 and will be isomorphic and therefore have the same algebraic properties.
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1998 ◽
Vol 37
(5)
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pp. 1598-1612
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2015 ◽
Vol 428
(2)
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pp. 982-988
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1984 ◽
Vol 52
(3)
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pp. 173-212
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