On the Arithmetic of Strongly Primary Monoids
β Scribed by Alfred Geroldinger; Wolfgang Hassler; Gunter Lettl
- Book ID
- 105927844
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 474 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0037-1912
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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We show that the singular braid monoid on 3 strands embeds in the integral group ring of the braid group proving a special case of a conjecture originating from J.S. Birman (1993). The statement is proven by developing general results connected to the conjecture, including an extension of Artin's br