Abstract
We introduce the notion of a perfect path for a monomial algebra. We classify indecomposable non-projective Gorenstein-projective modules over the given monomial algebra via perfect paths. We apply the classification to a quadratic monomial algebra and describe explicitly the stable category of its Gorenstein-projective modules.
| Original language | English |
|---|---|
| Pages (from-to) | 1115-1134 |
| Number of pages | 20 |
| Journal | Proceedings of the Royal Society of Edinburgh Section A: Mathematics |
| Volume | 148 |
| Issue number | 6 |
| DOIs | |
| State | Published - 1 Dec 2018 |
Keywords
- Gorenstein-projective module
- Nakayama algebra
- monomial algebra
- perfect path
- quadratic monomial algebra