Stability and Clifford regularity with respect to star operations
Stefania Gabelli, Giampaolo Picozza
TL;DR
This paper explores the properties of star stable and star regular domains, extending classical concepts of stability and Clifford regularity through star operations, and investigates their interrelations.
Contribution
It advances the understanding of star stable and star regular domains and clarifies their relationship, enriching the theory of star operations in domain algebra.
Findings
Deepened the study of star stable domains.
Analyzed the relationship between star stable and star regular domains.
Extended classical stability concepts using star operations.
Abstract
In the last few years, the concepts of stability and Clifford regularity have been fruitfully extended by using star operations. In this paper we deepen the study of star stable and star regular domains and relate these two classes of domains to each other.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology