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