Mathematics – Rings and Algebras
Scientific paper
2009-04-06
Mathematics
Rings and Algebras
15 pages, 1 figure, references added, typos corrected, results unchanged
Scientific paper
Recent research of the author has given an explicit geometric description of free (two-sided) adequate semigroups and monoids, as sets of labelled directed trees under a natural combinatorial multiplication. In this paper we show that there are natural embeddings of each free right adequate and free left adequate semigroup or monoid into the corresponding free adequate semigroup or monoid. The corresponding classes of trees are easily described and the resulting geometric representation of free left adequate and free right adequate semigroups is even easier to understand than that in the two-sided case. We use it to establish some basic structural properties of free left and right adequate semigroups and monoids.
No associations
LandOfFree
Free left and right adequate semigroups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Free left and right adequate semigroups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Free left and right adequate semigroups will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-133292