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On the algebraic properties of the ring of Dirichlet convolutions

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dc.contributor.author CIMPOEAȘ, Mircea
dc.date.accessioned 2020-11-05T15:18:21Z
dc.date.available 2020-11-05T15:18:21Z
dc.date.issued 2018
dc.identifier.citation CIMPOEAȘ, Mircea. On the algebraic properties of the ring of Dirichlet convolutions. In: CAIM 2018: The 26th Conference on Applied and Industrial Mathematics: Book of Abstracts, Technical University of Moldova, September 20-23, 2018. Chişinău: Bons Offices, 2018, pp. 89-90. en_US
dc.identifier.uri http://repository.utm.md/handle/5014/11152
dc.description Only Abstract en_US
dc.description.abstract The most important case, largely studied in analytic number theory, is the case when R is a domain (or even more particullary, when R = C) and Γ = N∗ is the multiplicative monoid of positive integers. Cashwell and Everett showed that F(N∗, R) is also a domain. Moreover, if R is an UFD with the property that R[[x1, ... , xn]] are UFD for any n ≥ 1, then F(N∗, R) is also an UFD. en_US
dc.language.iso en en_US
dc.publisher Bons Offices en_US
dc.rights Attribution-NonCommercial-NoDerivs 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/us/ *
dc.subject Dirichlet convolutions en_US
dc.subject commutative ring en_US
dc.subject morphisms en_US
dc.subject monoids en_US
dc.subject algebraic properties en_US
dc.title On the algebraic properties of the ring of Dirichlet convolutions en_US
dc.type Article en_US


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