Arithmetic Convolution Rings
نویسندگان
چکیده
Arithmetic convolution rings provide a general and unified treatment of many rings that have been called arithmetic; the best known examples are rings of complex valued functions with domain in the set of non-negative integers and multiplication the Cauchy product or the Dirichlet product. The emphasis here is on factorization and related properties of such rings which necessitates prior results on the existence of zero-divisors and units in arithmetic convolution rings. Mathematics Subject Classification: Primary 16S99; Secondary 13F15, 13F25
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