This paper surveys the area of Free Burnside Semigroups. The theory of these semigroups, as is the case for groups, is far from being completely known. For semigroups, the most impressive results were obtained in the last 10 years. In this paper we give priority to the mathematical treatment of the problem and do not stress too much neither motivation nor the historical aspects. No proofs are presented in this paper, but we tried to give as many examples as was possible.
This paper surveys the area of Free Burnside Semigroups. The theory of
these semigroups, as is the case for groups, is far from being completely
known. For semigroups, the most impressive results were obtained in the
last 10 years. In this paper we give priority to the mathematical treatment of the problem
and do not stress too much neither motivation nor the historical aspects.
No proofs are presented in this paper, but we tried to give as many examples
as was possible.
Alignment of sequences is widely used for biological sequence comparisons, and only biological events like mutations, insertions and deletions are considered. Other biological events like inversions are not automatically detected by the usual alignment algorithms, thus some alternative approaches have been tried in order to include inversions or other kinds of rearrangements. Despite many important results in the last decade, the complexity of the problem of alignment with inversions is still unknown....
Alignment of sequences is widely used for biological sequence
comparisons, and only biological events like mutations, insertions
and deletions are considered. Other biological events like
inversions are not automatically detected by the usual alignment
algorithms, thus some alternative approaches have been tried in order
to include inversions or other kinds of rearrangements.
Despite many important results in the last decade, the complexity of the
problem of alignment with inversions is...
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