Remarks concerning the work on Möbius functions and Frobenius constants for a certain class of semigroups. (Russian) Zbl 0791.20073

Koganov, L. M.

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