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On Some Rings of Arithmetical Functions

Authors:	Bhattacharjee D

Institution:	(1) Department of Mathematics, Pachhunga University College, North-Eastern Hill University, Aizawl, 796001 Mizoram, India

Abstract:	In this paper, we consider several constructions which from a given B-product _B lead to another one $\tilde _B$ We shall be interested in finding what algebraic properties of the ring $R_B = \langle C^\mathbb{N} , + ,_B \rangle$ are shared also by the ring $R_{\tilde B} = \langle C^\mathbb{N} , + ,_B \rangle$ . In particular, for some constructions the rings R _B and $R_{\tilde B}$ will be isomorphic and therefore have the same algebraic properties.

Keywords:	Convolution product multiplicative B-product twisted product strong associativity unitary B-product Narkiewicz product
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