General Presentations of Algebras

Details General Presentations of Algebras General Presentations of Algebras

2009-11-25

arxiv.org/abs/0911.4913v2

Mathematics

Rings and Algebras

24 pages, 3 figures, submitted. Section 2 is new. Some argument was simplified. New examples, references were added, and typos

Scientific paper

For any finite dimensional basic associative algebra, we study the presentation spaces and their relation to the representation spaces. We prove two propositions about a general presentation, one on its subrepresentations and the other on its canonical decomposition. As a special case, we consider rigid presentations. We show how to complete a rigid presentation and study the number of nonisomorphic direct summands and different complements. Based on that, we construct a simplicial complex governing the canonical decompositions of rigid presentations and provide some examples.

Affiliated with

Also associated with

No associations

Rating

General Presentations of 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 General Presentations of Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and General Presentations of Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-624269