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Remarks concerning the work on Möbius functions and Frobenius constants for a certain class of semigroups. (Russian) Zbl 0791.20073
Studies on semigroups, Interuniv. Collect. Sci. Works, Leningrad, 40-45 (1990).
[For the entire collection see Zbl 0714.00010.]
The present article contains a supplement to the author’s earlier works [in: “Algebraic systems with one operation and relation”, Interuniv. Collect. Sci. Works, Leningrad 1985, 46-53 (1985; Zbl 0615.10004); “Semigroups and partial groupoids”, Interuniv. Collect. Sci. Works, Leningrad 1987, 15-25 (1987; Zbl 0675.20053)], in the light of facts, which became known to the author after publication of these works. Knowledge of the second of these articles is necessary for reading the present article.
MSC:
20M15 Mappings of semigroups
20M05 Free semigroups, generators and relations, word problems
11A25 Arithmetic functions; related numbers; inversion formulas