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- W4214492021 abstract "The abstract arithmetic of non-commutative non-singular arithmetic curves (equivalently: the ideal theory of hereditary orders) is revisited in the framework of quantum B-algebras. It is shown that multiplication of ideals can be transformed into composition of functions. This yields a non-commutative “fundamental theorem of arithmetic” extending the classical one. Local hereditary arithmetics are presented by generators and relations and correlated with tubular quantum B-algebras. Main results are achieved by a divisor theory which furnishes the divisor group with a ring-like structure satisfying a 1-cocycle condition." @default.
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- W4214492021 date "2016-12-01" @default.
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- W4214492021 title "Hereditary arithmetics" @default.
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- W4214492021 doi "https://doi.org/10.1016/j.jalgebra.2016.08.015" @default.
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