an:04105245
Zbl 0675.20053
Koganov, L. M.
On the M??bius functions and Frobenius constants of semigroups generated by linear forms of a special form
RU
Semigroups and partial groupoids, Interuniv. Collect. Sci. Works, 15-25 (1987).
1987
a
20M15 11A25 20M05
linear forms; M??bius constant; M??bius function; generators; semigroups
[For the entire collection see Zbl 0669.00006.]
The paper gives a method for obtaining the M??bius constant and the M??bius 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.
M.??tef??nescu
Zbl 0669.00006