A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
On the Subsemigroups of a Finite Cyclic Semigroup

2014
*
Kyungpook Mathematical Journal
*

Let S = C(r, m) , the finite cyclic semigroup with index r and period m. Each subsemigroup of S is cyclic if and only if either r = 1; r = 2; or r = 3 with m odd. For r = 1, the maximum value of the minimum number of elements in a (minimal) generating set of a subsemigroup of S is 1 if r = 3 and m is odd; 2 if r = 3 and m is even; (r − 1)/2 if r is odd and unequal to 3; and r/2 if r is even. The number of cyclic subsemigroups of S is r−1+τ (m). Formulas are also given for the number of

doi:10.5666/kmj.2014.54.4.607
fatcat:lltmhwhclzbedo4wosilq2cjaq