Rings with canonical reduction

Mehran Rahimi

Rings with canonical reduction

Commutative Algebra 2019-01-30 v3

Authors: Mehran Rahimi

Abstract

The aim of this note is to study the class of one dimensional Cohen-Macaulay local rings, $(R, \mathfrak{m})$ say, possessing a canonical ideal $K$ which is a reduction of $\mathfrak{m}$ . We call $R$ to have canonical reduction $K$ . We show that the class of rings with canonical reductions contains the class of almost Gorenstein rings and establish its relation with rings obtained by idealizations and also with numerical semigroup rings.

Keywords

cohen-macaulay rings and modules commutative algebra commutative ring theory

Cite

@article{arxiv.1712.00755,
  title  = {Rings with canonical reduction},
  author = {Mehran Rahimi},
  journal= {arXiv preprint arXiv:1712.00755},
  year   = {2019}
}

Comments

24 pages, completely revised by M. Rahimi

Related papers

View all related →