t-Class semigroups of Noetherian domains
Commutative Algebra
2016-01-29 v1 Number Theory
Abstract
The t-class semigroup of an integral domain is the semigroup of fractional t-ideals modulo its subsemigroup of nonzero principal ideals with the operation induced by ideal t-multiplication. This paper investigates ring-theoretic properties of a Noetherian domain that reflect reciprocally in the Clifford or Boolean property of its t-class semigroup.
Cite
@article{arxiv.0811.4693,
title = {t-Class semigroups of Noetherian domains},
author = {S. Kabbaj and A. Mimouni},
journal= {arXiv preprint arXiv:0811.4693},
year = {2016}
}
Comments
9 pages. To appear in Commutative Algebra and Applications, Walter de Gruyter, Berlin, Germany, 2009