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On the Elasticity of Generalized Arithmetical Congruence Monoids

✍ Scribed by S. T. Chapman; David Steinberg


Book ID
105764531
Publisher
Springer
Year
2010
Tongue
English
Weight
210 KB
Volume
58
Category
Article
ISSN
1422-6383

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In this paper we develop an ideal theory for certain submonoids of the nonzero integers. We associate one of these monoids to each quadratic number field and show that the genus theory of ideals and genus characters of the number field are virtually the same as the ideal theory and the characters of