Arithmetical semigroups I: direct factors.
J. KNOPFMACHER, K.-H. Indlekofer, R. Warlimont (1991)
Manuscripta mathematica
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Displaying similar documents to “Arithmetical Semigroups V: Multiplicative Functions.”
Arithmetical semigroups I: direct factors.
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R. Warlimont (1991)
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We consider an axiomatically-defined class of arithmetical semigroups that we call simple L-semigroups. This class includes all generalized Hilbert semigroups, in particular the semigroup of non-zero integers in any algebraic number field. We show, for all positive integers k, that the counting function of the set of elements with at most k distinct factorization lengths in such a semigroup has oscillations of logarithmic frequency and size for some M>0. More generally, we show...
Multiplicative Elements m Baer*-Semigroups.
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On special Rees matrix semigroups over semigroups
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We study the right regular representation of special Rees matrix semigroups over semigroups, and discuss their embedding in idempotent-free left simple semigroups.