### Abstract

We give a necessary condition of degeneration via matrix representations, and consider degenerations of indecomposable Cohen-Macaulay modules over hypersurface singularities of type ($A_\infty$). We also provide a method to construct degenerations of finitely generated modules over commutative rings.

Original language | Undefined/Unknown |
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Journal | arXiv |

Publication status | Published - Feb 28 2018 |

### Keywords

- math.AC
- math.RT
- 13C14, 14D06, 16G60

## Cite this

Hiramatsu, N., Takahashi, R., & Yoshino, Y. (2018). Degenerations over $(A_\infty)$-singularities and construction of degenerations over commutative rings.

*arXiv*.