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On the Möbius functions and Frobenius constants of semigroups generated by linear forms of a special form. (Russian) Zbl 0675.20053
Semigroups and partial groupoids, Interuniv. Collect. Sci. Works, 15-25 (1987).
[For the entire collection see Zbl 0669.00006.]
The paper gives a method for obtaining the Möbius constant and the Möbius function for a semigroup with more than two generators, in some particular cases. Some known semigroups are considered, as well as the semigroup generated by the form \(xbc+yac+zab\), where a,b,c are relatively prime natural numbers or the semigroup generated by the form \(ax+by\), where a,b are relatively prime natural numbers different from 1.
Reviewer: M.Ştefănescu

MSC:
20M15 Mappings of semigroups
11A25 Arithmetic functions; related numbers; inversion formulas
20M05 Free semigroups, generators and relations, word problems