Year: 2025
Type: article
Abstract: An integral domain D is called an SP-domain if every ideal is a product of radical ideals. Such domains are always almost Dedekind domains, but not every almost Dedekind domain is an SP-domain. The SP-rank of D provides a natural measure of the deviation of D from being an SP-domain. In the present paper we show that every ordinal number α can be realized as the SP-rank of an almost Dedekind domain.
Source: Communications in Algebra
Authors: Balint Rago, Dario Spirito
Institutions: University of Graz, Nawi Graz, University of Udine
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Funder: Austrian Science Fund
OpenAlex ID: W4413057773