Abstract
A finite poset (P curly precedes sign S) determines a finite dimensional algebra TP over the field of two elements, with an upper triangular representation. We determine the structure of the radical of the representation algebra A of the monoid (TP,·) over a field of characteristic different from 2. We also consider degenerations of A over a complete discrete valuation ring with residue field of characteristic 2.
Original language | English |
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Pages (from-to) | 27-38 |
Number of pages | 12 |
Journal | International Journal of Algebra and Computation |
Volume | 20 |
Issue number | 1 |
DOIs | |
State | Published - Feb 2010 |
Keywords
- Deformation
- Degeneration
- Monoid
- Poset
- Representation algebra
- Semigroup