On the algebraic properties of the ring of Dirichlet convolutions

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