… We also prove the existence of what we call universal bi-ideals – finitely generated bi-ideals …
Due to the Proposition 3 and Lemma 4 in case of bi-ideals terms non-periodicity and aperi…

… 3.7) of periodicity for all classes of bi-ideals. Then for periodic bi-ideals we demonstrate if
every ui appears infinitely often then every ui is a power of the certain word. This leads to …

… bi-ideals are also presented in the thesis. We show that finitely generated bi-ideals are in …
From this, (2.32) and the periodicity of x we get that for all t ∈ {1,2,...,p − 1} and for all µ ∈ N …

… In this paper we consider special infinite words called finitely generated bi-ideals. The concept
comes from the concept of bi-ideals of semigroups (see, eg [6]). It is clear that for any pair …

… we call universal bi-ideals — finitely generated bi-ideals that … We give a description of a
class of such universal bi-ideals. … From this, (25) and the periodicity of x we get that for all t ∈ {1…

… Due to the Proposition 2.2 and Lemma 2.3 in case of biideals terms non-periodicity and
aperiodicity are equivalent. A bi-ideal is called finitely generated if its basis sequence (ui) is …

… of bi-ideals – class of bounded bi-ideals and class of finitely generated bi-ideals (which is
subclass of bounded biideals… of bi-ideals terms non-periodicity and aperiodicity are equivalent. …

… We note that finitely generated biideals can be represented as morphic words as well. In
lieu of this a study of … Up to now we have proved that the periodicity of the sequence which is …

… semigroup satisfying the minimal condition on principal bi-ideals and all subgroups of S are
… on principal right-ideals (minR), instead of principal bi-ideals. In a recent paper [8] we gave a …

… However, the conditions of a finite generation and the periodicity are not sufficient to assure
the finiteness of a semigroup or a group. In the case of semigroups this has been shown in …