Ulrich modules : decomposition and relation with rings having minimal multiplicity

Mehran Rahimi

Ulrich modules : decomposition and relation with rings having minimal multiplicity

Commutative Algebra 2026-08-01 v1

Authors: Mehran Rahimi

Abstract

Some basic properties of Ulrich modules are studied and it is proved that Ulrich modules in Cohen-Macaulay local rings are decomposable. As a result, some characterizations proved for rings having minimal multiplicity, and some properties for ideals which are Ulrich as module is discussed.

Cite

@article{arxiv.2608.00612,
  title  = {Ulrich modules : decomposition and relation with rings having minimal multiplicity},
  author = {Mehran Rahimi},
  journal= {arXiv preprint arXiv:2608.00612},
  year   = {2026}
}

Comments

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