Sally modules of canonical ideals in dimension one and 2-AGL rings
Commutative Algebra
2017-04-05 v1
Abstract
The notion of 2-AGL ring in dimension one which is a natural generalization of almost Gorenstein local ring is posed in terms of the rank of Sally modules of canonical ideals. The basic theory is developed, investigating also the case where the rings considered are numerical semigroup rings over fields. Examples are explored.
Cite
@article{arxiv.1704.00997,
title = {Sally modules of canonical ideals in dimension one and 2-AGL rings},
author = {Tran Do Minh Chau and Shiro Goto and Shinya Kumashiro and Naoyuki Matsuoka},
journal= {arXiv preprint arXiv:1704.00997},
year = {2017}
}