Algebras and groups defined by permutation relations of alternating type

Details Algebras and groups defined by permutation relations of alternating type Algebras and groups defined by permutation relations of alternating type

2009-04-16

arxiv.org/abs/0904.2447v1

Mathematics

Rings and Algebras

Scientific paper

The class of finitely presented algebras over a field $K$ with a set of generators $a_{1},..., a_{n}$ and defined by homogeneous relations of the form $a_{1}a_{2}... a_{n} =a_{\sigma (1)} a_{\sigma (2)} ... a_{\sigma (n)}$, where $\sigma$ runs through $\Alt_{n}$, the alternating group, is considered. The associated group, defined by the same (group) presentation, is described. A description of the radical of the algebra is found. It turns out that the radical is a finitely generated ideal that is nilpotent and it is determined by a congruence on the underlying monoid, defined by the same presentation.

Affiliated with

Also associated with

No associations

Rating

Algebras and groups defined by permutation relations of alternating type 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 Algebras and groups defined by permutation relations of alternating type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Algebras and groups defined by permutation relations of alternating type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-464667