Mathematics – Rings and Algebras
Scientific paper
2010-09-29
Mathematics
Rings and Algebras
Scientific paper
The structure of the algebra K[M] of the Chinese monoid M over a field K is studied. The minimal prime ideals are described. They are determined by certain homogeneous congruences on M and they are in a one to one correspondence with diagrams of certain special type. There are finitely many such ideals. It is also shown that the prime radical B(K[M]) of K[M] coincides with the Jacobson radical and the monoid M embeds into the algebra K[M]/B(K[M]). A new representation of M as a submonoid of the direct product of finitely many copies of the bicyclic monoid and finitely many copies of the infinite cyclic monoid is derived. Consequently, M satisfies a nontrivial identity.
Jaszunska Joanna
Okninski Jan
No associations
LandOfFree
Structure of Chinese algebras 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 Structure of Chinese algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Structure of Chinese algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-523555